Logistic function from Lakshay Garg

Time bar (total: 3.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample2.0s (61.8%)

Memory
52.2MiB live, 1 780.7MiB allocated; 917ms collecting garbage
Samples
883.0ms1 658×2valid
410.0ms2 398×1valid
326.0ms4 200×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-exp: 755.0ms (57.4% of total)
adjust: 158.0ms (12% of total)
ival-div: 107.0ms (8.1% of total)
ival-sub: 106.0ms (8.1% of total)
ival-mult: 92.0ms (7% of total)
ival-add: 83.0ms (6.3% of total)
exact: 13.0ms (1% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain153.0ms (4.8%)

Memory
-14.6MiB live, 188.9MiB allocated; 28ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1190-0-(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
00-0-(exp.f64 (*.f64 #s(literal -2 binary64) x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal -2 binary64) x)
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))cancellation1190
Confusion
Predicted +Predicted -
+1190
-0137
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11900
-00137
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0137
1119
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms110×2valid
18.0ms124×1valid
17.0ms278×0valid
Compiler

Compiled 84 to 31 computations (63.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-exp: 21.0ms (42% of total)
adjust: 9.0ms (18% of total)
ival-div: 6.0ms (12% of total)
ival-sub: 4.0ms (8% of total)
ival-add: 4.0ms (8% of total)
ival-mult: 4.0ms (8% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess199.0ms (6.2%)

Memory
3.9MiB live, 237.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01633
13331
27331
325331
4128330
0910
01410
12410
24610
311410
449810
5529810
0837910
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
Compiler

Compiled 10 to 9 computations (10% 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
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Compiler

Compiled 10 to 9 computations (10% saved)

series6.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
9 → 22
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
Calls

3 calls:

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

rewrite161.0ms (5%)

Memory
18.4MiB live, 159.5MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077369
084367
1416357
03533339
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
31 → 117
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(neg.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(literal 2 binary64)
(/.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) (sinh.f64 (*.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64))))) (-.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))))
(fma.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))
(+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
x
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (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(literal -1 binary64)))
#s(approx (+ 1 (exp (* -2 x))) #s(literal 2 binary64))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (exp (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (* -2 x) (*.f64 x #s(literal -2 binary64)))
#s(approx x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (exp (* -2 x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))

eval19.0ms (0.6%)

Memory
-23.3MiB live, 20.2MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 206 to 424 computations (80.8% saved)

prune109.0ms (3.4%)

Memory
25.4MiB live, 76.5MiB allocated; 18ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1162118
Fresh000
Picked101
Done000
Total1172119
Accuracy
100.0%
Counts
119 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
47.1%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 53 to 33 computations (37.7% saved)

series72.0ms (2.2%)

Memory
22.7MiB live, 110.0MiB allocated; 12ms collecting garbage
Counts
24 → 78
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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)
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #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 (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 x))
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ x (sqrt 1/2))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6)) (sqrt 1/2))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 1))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 -1/2))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* 1/2 x) 1/2)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ x (* -1 (log 2)))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* -1/2 x))))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* -1 x))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* x (- (* 1/2 x) 1)))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#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 (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow (exp x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (/ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))) 1)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (* -1 (log (+ 1 (/ 1 (pow (exp x) 2)))))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (log (+ 1 (/ 1 (pow (exp 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 (* 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))))))))
Calls

3 calls:

TimeVariablePointExpression
37.0ms
x
@inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (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 (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (pow (- (pow (exp x) -2) -1) -1/2) (- (pow (exp x) -2) -1) (pow (exp x) -2) (exp x) -2 -1 -1/2 (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (* (log (+ 1 (pow (exp x) -2))) -1) (log (+ 1 (pow (exp x) -2))))
29.0ms
x
@-inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (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 (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (pow (- (pow (exp x) -2) -1) -1/2) (- (pow (exp x) -2) -1) (pow (exp x) -2) (exp x) -2 -1 -1/2 (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (* (log (+ 1 (pow (exp x) -2))) -1) (log (+ 1 (pow (exp x) -2))))
4.0ms
x
@0
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (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 (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (pow (- (pow (exp x) -2) -1) -1/2) (- (pow (exp x) -2) -1) (pow (exp x) -2) (exp x) -2 -1 -1/2 (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (* (log (+ 1 (pow (exp x) -2))) -1) (log (+ 1 (pow (exp x) -2))))

rewrite128.0ms (4%)

Memory
-34.1MiB live, 92.6MiB allocated; 166ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02951762
03251604
015231566
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
102 → 170
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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)
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #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 (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 x))
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ x (sqrt 1/2))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6)) (sqrt 1/2))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 1))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 -1/2))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* 1/2 x) 1/2)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ x (* -1 (log 2)))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* -1/2 x))))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* -1 x))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* x (- (* 1/2 x) 1)))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#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 (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow (exp x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (/ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))) 1)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (* -1 (log (+ 1 (/ 1 (pow (exp x) 2)))))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (log (+ 1 (/ 1 (pow (exp 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 (* 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))))))))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (-.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)) (pow.f64 x #s(literal 3 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 3 binary64)))) (*.f64 x x)) (-.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)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.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)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (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)) (pow.f64 x #s(literal 3 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 3 binary64))) (-.f64 (*.f64 x x) (*.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)) (pow.f64 x #s(literal 3 binary64))) 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)
(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 (*.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 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)) (pow.f64 x #s(literal 3 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 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
x
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) (+.f64 #s(literal 1/9 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 (*.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)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(*.f64 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 2/15 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(fma.f64 #s(literal 2/15 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) x))
(fma.f64 #s(literal 2/15 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(fma.f64 x #s(literal 2/15 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) x))
(fma.f64 x #s(literal 2/15 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(+.f64 (*.f64 #s(literal 2/15 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) x))
(+.f64 (*.f64 #s(literal 2/15 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(/.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal 4/225 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(/.f64 (+.f64 #s(literal 8/3375 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4/225 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 3 binary64)) #s(literal 8/3375 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))))
(fma.f64 (*.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
#s(literal -17/315 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))) (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))))
(fma.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(+.f64 (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(+.f64 (cosh.f64 (*.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64)))))
(expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(log.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) x)
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (fma.f64 (-.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 x x) #s(literal 1 binary64)) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(literal -1/3 binary64))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) (-.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 (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) x)
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (*.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) (fma.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) (fma.f64 (fma.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 #s(literal -5/48 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/32 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3 binary64)))) x (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (pow (exp x) -2) -1) #s(literal 2 binary64))
#s(approx (- (pow (exp x) -2) -1) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (- (pow (exp x) -2) -1) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (pow (exp x) -2) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (pow (exp x) -2) #s(literal 1 binary64))
#s(approx (pow (exp x) -2) (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (pow (exp x) -2) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (exp x) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(literal -1/2 binary64))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/15 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (log.f64 #s(literal 1/2 binary64)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (+.f64 (log.f64 #s(literal 1/2 binary64)) x))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (log.f64 #s(literal 1/2 binary64))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 #s(literal 1/2 binary64))))
#s(approx (log (+ 1 (pow (exp x) -2))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (pow (exp x) -2))) (fma.f64 #s(literal -1 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) -2))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) -2))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
#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 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (*.f64 x x)))
#s(approx (+ (* (pow (- (pow (exp x) -2) -1) -1/2) (pow (- (pow (exp x) -2) -1) -1/2)) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (pow (- (pow (exp x) -2) -1) -1/2) (sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
#s(approx (- (pow (exp x) -2) -1) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (pow (exp x) -2) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
#s(approx (log (+ 1 (pow (exp x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (neg.f64 (*.f64 (-.f64 #s(literal 17/315 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) (neg.f64 (*.f64 (-.f64 #s(literal 17/315 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 3 binary64)))))

eval37.0ms (1.2%)

Memory
-38.5MiB live, 56.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 8 063 to 925 computations (88.5% saved)

prune183.0ms (5.7%)

Memory
4.4MiB live, 195.7MiB allocated; 8ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2490249
Fresh000
Picked022
Done000
Total2492251
Accuracy
100.0%
Counts
251 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
47.1%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 116 to 72 computations (37.9% saved)

regimes8.0ms (0.3%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
Calls

6 calls:

1.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
100.0%3(*.f64 #s(literal -2 binary64) x)
100.0%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
100.0%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
100.0%3x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes7.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Calls

6 calls:

1.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
100.0%3(*.f64 #s(literal -2 binary64) x)
100.0%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
100.0%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
100.0%3x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes6.0ms (0.2%)

Memory
-34.4MiB live, 12.9MiB allocated; 1ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
Calls

6 calls:

2.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
47.1%1(*.f64 #s(literal -2 binary64) x)
47.1%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
47.1%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
47.1%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
47.1%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
47.1%1x
Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch30.0ms (0.9%)

Memory
41.4MiB live, 41.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.0001659180903646292
0.0912754148243154
14.0ms
-1773.0013433242002
-0.0019424177913049921
Samples
15.0ms272×0valid
Compiler

Compiled 779 to 581 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 3.0ms (30.8% of total)
ival-div: 2.0ms (20.5% of total)
ival-mult: 2.0ms (20.5% of total)
ival-add: 1.0ms (10.3% of total)
ival-sub: 1.0ms (10.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0001659180903646292
0.0912754148243154
1.0ms
-1773.0013433242002
-0.0019424177913049921
Compiler

Compiled 431 to 365 computations (15.3% saved)

simplify50.0ms (1.6%)

Memory
-38.5MiB live, 56.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046146
165146
296146
3185146
4636145
56200145
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -3530822107858469/144115188075855872 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal -3530822107858469/144115188075855872 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
Outputs
(if (<=.f64 x #s(literal -3530822107858469/144115188075855872 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal -3530822107858469/144115188075855872 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))))
(if (<=.f64 x #s(literal -3530822107858469/144115188075855872 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (or (<=.f64 x #s(literal -3530822107858469/144115188075855872 binary64)) (not (<=.f64 x #s(literal 5764607523034235/1152921504606846976 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))

derivations24.0ms (0.8%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 145 to 50 computations (65.5% saved)

preprocess27.0ms (0.8%)

Memory
-16.3MiB live, 30.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 310 to 118 computations (61.9% saved)

end0.0ms (0%)

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

Profiling

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