expq2 (section 3.11)

Time bar (total: 984.0ms)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
50%37.6%37.6%24.8%0%0%0%2
75%56.4%18.8%24.8%0%0%0%3
87.5%65.8%9.4%24.8%0%0%0%4
93.8%70.5%4.7%24.8%0%0%0%5
96.9%72.8%2.3%24.8%0%0%0%6
98.4%74%1.2%24.8%0%0%0%7
99.2%74.6%0.6%24.8%0%0%0%8
99.6%74.9%0.3%24.8%0%0%0%9
99.8%75%0.1%24.8%0%0%0%10
99.9%75.1%0.1%24.8%0%0%0%11
100%75.1%0%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample519.0ms (52.7%)

Memory
19.7MiB live, 352.0MiB allocated; 62ms collecting garbage
Samples
321.0ms8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-exp: 66.0ms (42.1% of total)
ival-expm1: 47.0ms (30% of total)
ival-div!: 43.0ms (27.5% of total)
adjust: 2.0ms (1.3% of total)
Bogosity

explain79.0ms (8.1%)

Memory
5.2MiB live, 50.1MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1730-1(0.02926447521454779)(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
00-0-#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))cancellation1722
Confusion
Predicted +Predicted -
+1722
-082
Precision
1.0
Recall
0.9885057471264368
Confusion?
Predicted +Predicted MaybePredicted -
+17220
-0082
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
084
1172
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
21.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 4.0ms (39.2% of total)
ival-expm1: 3.0ms (29.4% of total)
ival-div!: 3.0ms (29.4% of total)
adjust: 0.0ms (0% of total)

preprocess28.0ms (2.9%)

Memory
-29.6MiB live, 24.0MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
12426
27526
324326
4128826
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶37.8%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

series3.0ms (0.3%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Counts
5 → 16
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) 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 (- (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) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms
x
@inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms
x
@0
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)

rewrite105.0ms (10.6%)

Memory
6.2MiB live, 99.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063209
068209
1373209
03314164
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
21 → 48
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) 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 (- (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) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
Outputs
(*.f64 (/.f64 (exp.f64 x) (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 (/.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))))
(+.f64 (/.f64 (cosh.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))) (/.f64 (sinh.f64 x) (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) (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)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
x
(/.f64 (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 (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) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 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 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 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 (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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.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))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (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) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 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 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) (- (exp x) 1)) (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)))

eval6.0ms (0.6%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 869 to 187 computations (78.5% saved)

prune14.0ms (1.5%)

Memory
-25.6MiB live, 21.1MiB allocated; 2ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New62264
Fresh000
Picked101
Done000
Total63265
Accuracy
100.0%
Counts
65 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x #s(literal 0 binary64))))
▶68.4%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
Compiler

Compiled 31 to 22 computations (29% saved)

series7.0ms (0.7%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
17 → 62
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x #s(literal 0 binary64))))
(exp.f64 x)
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(+.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x)))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) 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 (- (exp (+ x 0)) 1) #s(hole binary64 x))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ x 0) #s(hole binary64 x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -1 x))) 1))))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (- (exp (neg (* -1 x))) 1)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) x -1/720 1/12 1/2 1 (/ (exp x) (- (exp (+ x 0)) 1)) (exp x) (- (exp (+ x 0)) 1) (+ x 0) 0)
2.0ms
x
@inf
((/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) x -1/720 1/12 1/2 1 (/ (exp x) (- (exp (+ x 0)) 1)) (exp x) (- (exp (+ x 0)) 1) (+ x 0) 0)
1.0ms
x
@0
((/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) x -1/720 1/12 1/2 1 (/ (exp x) (- (exp (+ x 0)) 1)) (exp x) (- (exp (+ x 0)) 1) (+ x 0) 0)

rewrite54.0ms (5.5%)

Memory
6.9MiB live, 56.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01781344
01951213
08581152
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
79 → 132
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x #s(literal 0 binary64))))
(exp.f64 x)
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(+.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x)))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) 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 (- (exp (+ x 0)) 1) #s(hole binary64 x))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ x 0) #s(hole binary64 x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -1 x))) 1))))
#s(approx (- (exp (+ x 0)) 1) #s(hole binary64 (- (exp (neg (* -1 x))) 1)))
Outputs
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))))
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) #s(literal 1/144 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) 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)))
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
(/.f64 (-.f64 (*.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 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
x
#s(literal 0 binary64)
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) -1/720) 1/12) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ x 0) x)
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 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 #s(literal 1 binary64) x))
#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 (+ x 0)) 1) x)
#s(approx (- (exp (+ x 0)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp (+ x 0)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp (+ x 0)) 1) (*.f64 (fma.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)) x))
#s(approx (+ x 0) x)
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (*.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1/720 binary64))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp (+ x 0)) 1) (expm1.f64 x))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64)))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/720 binary64))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) 1) x) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1/720 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/12 binary64)))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/720 binary64))))
#s(approx (/ (exp x) (- (exp (+ x 0)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 1 binary64) x))))
#s(approx (- (exp (+ x 0)) 1) (expm1.f64 (*.f64 #s(literal 1 binary64) x)))

eval18.0ms (1.9%)

Memory
-21.2MiB live, 25.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 887 to 595 computations (84.7% saved)

prune102.0ms (10.4%)

Memory
1.0MiB live, 144.8MiB allocated; 6ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh000
Picked022
Done000
Total1372139
Accuracy
100.0%
Counts
139 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x #s(literal 0 binary64))))
✓68.4%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes4.0ms (0.4%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x #s(literal 0 binary64))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x #s(literal 0 binary64))))
Calls

3 calls:

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

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.3%)

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

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
68.4%1(exp.f64 x)
68.4%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
68.4%1x
Compiler

Compiled 10 to 8 computations (20% saved)

derivations20.0ms (2%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 31 to 21 computations (32.3% saved)

preprocess19.0ms (2%)

Memory
-14.1MiB live, 33.5MiB allocated; 2ms collecting garbage
Compiler

Compiled 76 to 52 computations (31.6% saved)

end0.0ms (0%)

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

Profiling

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