sqrtexp (problem 3.4.4)

Time bar (total: 2.5s)

start0.0ms (0%)

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

analyze12.0ms (0.5%)

Memory
-39.9MiB live, 3.7MiB allocated; 16ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.3s (50.2%)

Memory
23.0MiB live, 1 657.4MiB allocated; 248ms collecting garbage
Samples
621.0ms8 256×0valid
189.0ms2 610×0exit
Precisions
Click to see histograms. Total time spent on operations: 556.0ms
ival-mult: 160.0ms (28.8% of total)
ival-div: 156.0ms (28.1% of total)
ival-expm1: 146.0ms (26.3% of total)
ival-sqrt: 78.0ms (14% of total)
exact: 9.0ms (1.6% of total)
ival-assert: 4.0ms (0.7% of total)
adjust: 3.0ms (0.5% of total)
Bogosity

explain197.0ms (7.8%)

Memory
-4.8MiB live, 241.0MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1680-1(0.006351693693653618)(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
1680-0-(-.f64 (exp.f64 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-(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
00-0-(exp.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) #s(literal 1 binary64))cancellation1680
-.f64(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))cancellation1671
Confusion
Predicted +Predicted -
+1680
-088
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16800
-0088
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
088
11
2167
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
99.0ms512×0valid
Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-exp: 51.0ms (60.5% of total)
ival-mult: 18.0ms (21.3% of total)
ival-expm1: 6.0ms (7.1% of total)
ival-div: 4.0ms (4.7% of total)
ival-sqrt: 3.0ms (3.6% of total)
exact: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess259.0ms (10.3%)

Memory
-8.5MiB live, 223.2MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01941
15039
211939
348639
4308318
01012
01712
13312
26912
321512
411095
086555
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x)) #s(literal 1 binary64)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.3%
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

series9.0ms (0.3%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Counts
10 → 32
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (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(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#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 (* 2 x))))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (exp (* 2 x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))
2.0ms
x
@inf
((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))
1.0ms
x
@0
((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

rewrite338.0ms (13.4%)

Memory
14.7MiB live, 431.4MiB allocated; 82ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122565
0133523
1763413
06995351
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
42 → 140
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (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(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#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 (* 2 x))))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (exp (* 2 x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
Outputs
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))))
(/.f64 (pow.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 (exp.f64 x) (exp.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (exp.f64 x)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))))
(-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) #s(literal 1 binary64))
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 (*.f64 (exp.f64 x) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (exp.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (*.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (cosh.f64 x) (exp.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x)))
(fma.f64 (exp.f64 x) (cosh.f64 x) (*.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x)) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 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 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 (exp.f64 x) (sinh.f64 x)))
(+.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(+.f64 x x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (- (exp (* 2 x)) 1) (*.f64 x #s(literal 2 binary64)))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (exp (* 2 x)) #s(literal 1 binary64))
#s(approx (exp (* 2 x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (*.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(literal 1 binary64)))
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (*.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
#s(approx (exp (* 2 x)) (*.f64 (exp.f64 x) (exp.f64 x)))
#s(approx (- (exp x) 1) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))

eval29.0ms (1.2%)

Memory
5.9MiB live, 51.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 818 to 605 computations (78.5% saved)

prune57.0ms (2.3%)

Memory
-18.0MiB live, 78.2MiB allocated; 21ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1421143
Fresh000
Picked101
Done000
Total1431144
Accuracy
100.0%
Counts
144 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series3.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
6 → 16
Calls
Call 1
Inputs
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (sqrt 2)))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 2))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((pow (+ (* (exp x) 1) 1) 1/2) (+ (* (exp x) 1) 1) (exp x) x 1 1/2)
1.0ms
x
@inf
((pow (+ (* (exp x) 1) 1) 1/2) (+ (* (exp x) 1) 1) (exp x) x 1 1/2)
0.0ms
x
@0
((pow (+ (* (exp x) 1) 1) 1/2) (+ (* (exp x) 1) 1) (exp x) x 1 1/2)

rewrite179.0ms (7.1%)

Memory
24.5MiB live, 166.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074264
077204
1490192
04368176
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 83
Calls
Call 1
Inputs
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (sqrt 2)))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 2))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (+ (* (exp x) 1) 1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
Outputs
(*.f64 (neg.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(sqrt.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (fma.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (fma.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 7/96 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (exp x) 1) 1) #s(literal 2 binary64))
#s(approx (+ (* (exp x) 1) 1) (-.f64 x #s(literal -2 binary64)))
#s(approx (+ (* (exp x) 1) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (exp x) 1) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 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 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (pow (+ (* (exp x) 1) 1) 1/2) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (exp x) 1) 1) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))

eval20.0ms (0.8%)

Memory
-23.8MiB live, 23.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 243 to 284 computations (77.2% saved)

prune38.0ms (1.5%)

Memory
-4.8MiB live, 42.5MiB allocated; 1ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done000
Total84185
Accuracy
100.0%
Counts
85 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes7.0ms (0.3%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
Outputs
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
Calls

3 calls:

3.0ms
x
2.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
100.0%1x
Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes6.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Calls

3 calls:

2.0ms
x
2.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
36.3%1(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
36.3%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
36.3%1x
Compiler

Compiled 24 to 20 computations (16.7% saved)

simplify37.0ms (1.5%)

Memory
-27.3MiB live, 19.9MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
11919
22719
35219
420719
5220319
Stop Event
1×node limit
Calls
Call 1
Inputs
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Outputs
(pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

derivations34.0ms (1.4%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess28.0ms (1.1%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 62 to 46 computations (25.8% saved)

end0.0ms (0%)

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

Profiling

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