expm1 (example 3.7)

Time bar (total: 5.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample397.0ms (7.2%)

Memory
-4.1MiB live, 184.8MiB allocated; 28ms collecting garbage
Samples
236.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-expm1: 75.0ms (98.6% of total)
adjust: 1.0ms (1.3% of total)
Bogosity

explain66.0ms (1.2%)

Memory
11.4MiB live, 57.7MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2520-0-(-.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))cancellation2520
Confusion
Predicted +Predicted -
+2520
-04
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25200
-004
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
04
1252
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms512×0valid
Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (53.4% of total)
ival-expm1: 3.0ms (40% of total)
adjust: 0.0ms (0% of total)

preprocess1.7s (30.9%)

Memory
13.8MiB live, 652.0MiB allocated; 114ms collecting garbage
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0815
11815
24215
314915
471815
5796515
044
064
1114
2244
3584
42394
524984
086592
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.9%
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Compiler

Compiled 4 to 4 computations (0% saved)

series1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Counts
4 → 11
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
#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 x #s(hole binary64 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
0.0ms
x
@-inf
((- (exp x) 1) (exp x) x 1)
0.0ms
x
@inf
((- (exp x) 1) (exp x) x 1)
0.0ms
x
@0
((- (exp x) 1) (exp x) x 1)

rewrite376.0ms (6.8%)

Memory
18.4MiB live, 309.2MiB allocated; 133ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038117
040117
1226117
22046117
0891592
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 63
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
#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 x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
Outputs
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.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 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fabs.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fabs.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #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 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.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 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) (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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 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) 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 (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))

eval7.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 066 to 209 computations (80.4% saved)

prune5.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New55863
Fresh000
Picked101
Done000
Total56864
Accuracy
100.0%
Counts
64 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(-.f64 #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(literal 1 binary64))
7.3%
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
7.0%
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
▶100.0%
(expm1.f64 x)
▶98.9%
#s(approx (- (exp x) 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))
▶98.6%
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶98.2%
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶97.5%
#s(approx (- (exp x) 1) x)
Compiler

Compiled 170 to 130 computations (23.5% saved)

series9.0ms (0.2%)

Memory
-39.8MiB live, 7.1MiB allocated; 3ms collecting garbage
Counts
19 → 60
Calls
Call 1
Inputs
(expm1.f64 x)
x
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (- (exp x) 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))
(*.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)
(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))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
Outputs
#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 x #s(hole binary64 x))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24)
2.0ms
x
@inf
((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24)
1.0ms
x
@0
((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24)

rewrite182.0ms (3.3%)

Memory
16.6MiB live, 110.7MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711123
01851030
17911009
06561909
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
79 → 373
Calls
Call 1
Inputs
(expm1.f64 x)
x
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (- (exp x) 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))
(*.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)
(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))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#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 x #s(hole binary64 x))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
Outputs
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #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)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 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))
x
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
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(/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (/.f64 #s(literal -1/6 binary64) x) x))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/6 binary64) x)))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
#s(literal 1/24 binary64)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 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) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
#s(approx x x)
#s(approx (* (+ (* 1/2 x) 1) x) x)
#s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64))))

eval104.0ms (1.9%)

Memory
-10.3MiB live, 81.9MiB allocated; 8ms collecting garbage
Samples
44.0ms768×0valid
Compiler

Compiled 8 651 to 1 522 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult!: 15.0ms (75.1% of total)
ival-add!: 4.0ms (20% of total)
adjust: 0.0ms (0% of total)

prune120.0ms (2.2%)

Memory
-4.7MiB live, 93.7MiB allocated; 10ms collecting garbage
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New3845389
Fresh123
Picked235
Done000
Total38710397
Accuracy
100.0%
Counts
397 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.3%
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶7.0%
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓100.0%
(expm1.f64 x)
98.6%
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x))
▶98.2%
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
54.5%
#s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
▶98.9%
#s(approx (- (exp x) 1) (/.f64 (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
▶98.9%
#s(approx (- (exp x) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
✓98.2%
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓97.5%
#s(approx (- (exp x) 1) x)
Samples
82.0ms1 536×0valid
Compiler

Compiled 281 to 166 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult!: 30.0ms (73% of total)
ival-add!: 11.0ms (26.8% of total)
adjust: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
24 → 87
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) (/.f64 (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
(/.f64 (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))
(*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x)
(*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))
(vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x)
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
(vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)
#s(literal -1 binary64)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(*.f64 x x)
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
(*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x)
Outputs
#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 (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 x))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* 1/4 (pow x 2)) 1))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 -1))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 1))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 -1))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* x (+ 1/2 (* 1/6 x))) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) 1)))
#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 -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* 1/576 (pow x 7))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* 1/576 (pow x 6))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))) (/ 1 (pow x 3))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576)))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/72 (+ (/ 1/6 (pow x 2)) (* 5/72 (/ 1 x)))) x)) 1/576)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))) x)) 1/24)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((- (exp x) 1) (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) 1/24 1/6 1/2 1 x (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) -1 (- (exp x) 1) (exp x) (- x -1) (- (exp x) 1) (+ (* (* x x) 1/2) x) (* x x) (- (exp x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (- (exp x) 1) (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x))
2.0ms
x
@inf
((- (exp x) 1) (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) 1/24 1/6 1/2 1 x (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) -1 (- (exp x) 1) (exp x) (- x -1) (- (exp x) 1) (+ (* (* x x) 1/2) x) (* x x) (- (exp x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (- (exp x) 1) (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x))
1.0ms
x
@0
((- (exp x) 1) (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) 1/24 1/6 1/2 1 x (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) -1 (- (exp x) 1) (exp x) (- x -1) (- (exp x) 1) (+ (* (* x x) 1/2) x) (* x x) (- (exp x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (- (exp x) 1) (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x))

rewrite154.0ms (2.8%)

Memory
5.3MiB live, 95.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02821955
03001858
114811850
083001797
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
111 → 261
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) (/.f64 (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
(/.f64 (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))
(*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x)
(*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))
(vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x)
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
(vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)
#s(literal -1 binary64)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(*.f64 x x)
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
(*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) 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 (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 x))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* 1/4 (pow x 2)) 1))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 -1))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 1))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 -1))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* x (+ 1/2 (* 1/6 x))) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) 1)))
#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 -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* 1/576 (pow x 7))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* 1/576 (pow x 6))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))) (/ 1 (pow x 3))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576)))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/72 (+ (/ 1/6 (pow x 2)) (* 5/72 (/ 1 x)))) x)) 1/576)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))) x)) 1/24)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
Outputs
#s(approx (- (exp x) 1) (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x)) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
(*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x)) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x) x)))) (neg.f64 (neg.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x) x))) (neg.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
(/.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x) x)) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))
(*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x)) x)
(*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x) x))
(*.f64 x (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x)))
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
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(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
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(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
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(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
(*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x)
(*.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 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) 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 x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x)
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -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 (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -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 x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (neg.f64 x))
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#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
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#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(literal -1 binary64))
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#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) #s(literal 1 binary64))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (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)))
#s(approx x x)
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#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (-.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(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 (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (* x x) 1/2) x) x)
#s(approx (+ (* (* x x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) x)
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) (*.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 (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/576 binary64)))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (*.f64 (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))) (/.f64 #s(literal 1/72 binary64) x)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (*.f64 (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/72 binary64) x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))) (/.f64 #s(literal 1/72 binary64) x))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/72 binary64) x)))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (* x x) 1/2) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/72 binary64) x) #s(literal 1/72 binary64)) x)) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 5/72 binary64) x)) x)) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x)) #s(literal 1/72 binary64)) x) #s(literal -1 binary64) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) x) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))

eval81.0ms (1.5%)

Memory
22.5MiB live, 67.4MiB allocated; 4ms collecting garbage
Samples
28.0ms512×0valid
Compiler

Compiled 14 890 to 1 457 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult!: 10.0ms (73.2% of total)
ival-add!: 3.0ms (22% of total)
adjust: 0.0ms (0% of total)

prune82.0ms (1.5%)

Memory
12.2MiB live, 65.8MiB allocated; 6ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New3581359
Fresh112
Picked055
Done033
Total35910369
Accuracy
100.0%
Counts
369 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓7.3%
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓7.0%
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓100.0%
(expm1.f64 x)
▶98.6%
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x))
✓98.2%
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
✓98.9%
#s(approx (- (exp x) 1) (/.f64 (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
▶98.9%
#s(approx (- (exp x) 1) (/.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
✓98.9%
#s(approx (- (exp x) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
✓98.2%
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓97.5%
#s(approx (- (exp x) 1) x)
Samples
56.0ms1 024×0valid
Compiler

Compiled 171 to 110 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult!: 20.0ms (76.8% of total)
ival-add!: 6.0ms (23% of total)
adjust: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
-40.4MiB live, 5.9MiB allocated; 3ms collecting garbage
Counts
21 → 81
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) (/.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
(/.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))
(*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x)
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64))
(fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64))
#s(literal 5/72 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
Outputs
#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 (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 x))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* 1/4 (pow x 2)) 1))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 -1))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1)))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (- (* 1/4 (pow x 2)) 1)))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1)))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1)))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* 1/6 x)))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (+ 1/4 (* 1/6 x))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (+ 1/4 (* x (+ 1/6 (* 5/72 x))))))
#s(approx (+ (* 5/72 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 5/72 x) 1/6) #s(hole binary64 (+ 1/6 (* 5/72 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 -1))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* x (+ 1/2 (* 1/6 x))) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) 1)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* 1/576 (pow x 7))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* 1/576 (pow x 6))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* 5/72 (pow x 4))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 5/72 (* 1/6 (/ 1 x))))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 5/72 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/72 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))) (/ 1 (pow x 4))))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* 5/72 (pow x 4))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* (pow x 4) (+ 5/72 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* (pow x 4) (+ 5/72 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (* 5/72 (pow x 2))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (* (pow x 2) (+ 5/72 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (* (pow x 2) (+ 5/72 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 5/72 x) 1/6) #s(hole binary64 (* 5/72 x)))
#s(approx (+ (* 5/72 x) 1/6) #s(hole binary64 (* x (+ 5/72 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))) (/ 1 (pow x 3))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576)))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/72 (+ (/ 1/6 (pow x 2)) (* 5/72 (/ 1 x)))) x)) 1/576)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 5/72 (* -1 (/ (- (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)) 1/6) x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))) x)) 1/24)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (exp x) 1) (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (+ (* 5/72 x) 1/6) 5/72 x 1/6 1/4 (* x x) 1 (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) 1/24 1/2 -1 (- (exp x) 1) (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) (+ (* 1/6 x) 1/2))
2.0ms
x
@inf
((- (exp x) 1) (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (+ (* 5/72 x) 1/6) 5/72 x 1/6 1/4 (* x x) 1 (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) 1/24 1/2 -1 (- (exp x) 1) (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) (+ (* 1/6 x) 1/2))
1.0ms
x
@0
((- (exp x) 1) (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (+ (* 5/72 x) 1/6) 5/72 x 1/6 1/4 (* x x) 1 (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) 1/24 1/2 -1 (- (exp x) 1) (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) (+ (* 1/6 x) 1/2))

rewrite145.0ms (2.6%)

Memory
49.3MiB live, 92.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02822442
02982276
115212276
083521887
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
102 → 217
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) (/.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
(/.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))
(*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x)
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64))
(fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64))
#s(literal 5/72 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#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 (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 x))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* 1/4 (pow x 2)) 1))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 -1))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1)))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (- (* 1/4 (pow x 2)) 1)))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1)))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1)))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* 1/6 x)))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (+ 1/4 (* 1/6 x))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (+ 1/4 (* x (+ 1/6 (* 5/72 x))))))
#s(approx (+ (* 5/72 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 5/72 x) 1/6) #s(hole binary64 (+ 1/6 (* 5/72 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 -1))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* x (+ 1/2 (* 1/6 x))) 1)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (- (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) 1)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* 1/576 (pow x 7))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* (pow x 7) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* 1/576 (pow x 6))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* 5/72 (pow x 4))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 5/72 (* 1/6 (/ 1 x))))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 5/72 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/72 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))) (/ 1 (pow x 4))))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* 5/72 (pow x 4))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* (pow x 4) (+ 5/72 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) #s(hole binary64 (* (pow x 4) (+ 5/72 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (* 5/72 (pow x 2))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (* (pow x 2) (+ 5/72 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(hole binary64 (* (pow x 2) (+ 5/72 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 5/72 x) 1/6) #s(hole binary64 (* 5/72 x)))
#s(approx (+ (* 5/72 x) 1/6) #s(hole binary64 (* x (+ 5/72 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* (pow x 3) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))) (/ 1 (pow x 3))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576)))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/72 (+ (/ 1/6 (pow x 2)) (* 5/72 (/ 1 x)))) x)) 1/576)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) #s(hole binary64 (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 5/72 (* -1 (/ (- (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)) 1/6) x))))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))) x)) 1/24)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
Outputs
#s(approx (- (exp x) 1) (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
(*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) x))) (neg.f64 (neg.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) x)) (neg.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
(/.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))
(*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) x)
(*.f64 x #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))))
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#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)))
#s(approx (+ (* 5/72 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 5/72 x) 1/6) (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) #s(literal -1 binary64))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (-.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(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) x)
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/576 binary64)))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (*.f64 (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))) (/.f64 #s(literal 1/72 binary64) x)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (*.f64 (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/72 binary64) x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/576 binary64)))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))) (/.f64 #s(literal 1/72 binary64) x))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/72 binary64) x)))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/72 binary64)))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) (*.f64 (+.f64 (+.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/72 binary64)))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) (*.f64 (+.f64 (+.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (*.f64 (*.f64 x x) #s(literal 5/72 binary64)))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (*.f64 (+.f64 (+.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
#s(approx (+ (* 5/72 x) 1/6) (*.f64 #s(literal 5/72 binary64) x))
#s(approx (+ (* 5/72 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x))
#s(approx (/ (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/72 binary64) x) #s(literal 1/72 binary64)) x)) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 5/72 binary64) x)) x)) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x)) #s(literal 1/72 binary64)) x) #s(literal -1 binary64) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (+ (* (+ (* 5/72 x) 1/6) x) 1/4) (* x x)) 1) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) x)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64) #s(literal 5/72 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
#s(approx (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) (* x x)) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64))))

eval53.0ms (1%)

Memory
-3.0MiB live, 42.7MiB allocated; 3ms collecting garbage
Samples
14.0ms256×0valid
Compiler

Compiled 15 637 to 1 408 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 5.0ms (73.1% of total)
ival-add!: 2.0ms (29.3% of total)
adjust: 0.0ms (0% of total)

prune212.0ms (3.8%)

Memory
3.8MiB live, 102.8MiB allocated; 112ms collecting garbage
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New2521253
Fresh000
Picked022
Done088
Total25211263
Accuracy
100.0%
Counts
263 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓7.3%
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓7.0%
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓100.0%
(expm1.f64 x)
✓98.6%
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x))
✓98.2%
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
✓98.9%
#s(approx (- (exp x) 1) (/.f64 (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
✓98.9%
#s(approx (- (exp x) 1) (/.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
✓98.9%
#s(approx (- (exp x) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
✓98.2%
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
98.9%
#s(approx (- (exp x) 1) (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
✓97.5%
#s(approx (- (exp x) 1) x)
Samples
101.0ms1 792×0valid
Compiler

Compiled 572 to 229 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult!: 36.0ms (77.2% of total)
ival-add!: 11.0ms (23.6% of total)
adjust: 0.0ms (0% of total)

regimes15.0ms (0.3%)

Memory
-34.9MiB live, 10.8MiB allocated; 3ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 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) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x))
(-.f64 #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(literal 1 binary64))
#s(approx (- (exp x) 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 (- (exp x) 1) (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
#s(approx (- (exp x) 1) (/.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
#s(approx (- (exp x) 1) (/.f64 (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
#s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(expm1.f64 x)
Calls

3 calls:

7.0ms
x
3.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1(exp.f64 x)
100.0%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
100.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 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) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x))
(-.f64 #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(literal 1 binary64))
#s(approx (- (exp x) 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 (- (exp x) 1) (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
#s(approx (- (exp x) 1) (/.f64 (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1 binary64))) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
#s(approx (- (exp x) 1) (/.f64 (*.f64 (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)) x) (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x)))
#s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
Outputs
#s(approx (- (exp x) 1) (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
98.9%1(exp.f64 x)
98.9%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
98.9%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 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) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x))
(-.f64 #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(literal 1 binary64))
#s(approx (- (exp x) 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))
Outputs
#s(approx (- (exp x) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
98.9%1(exp.f64 x)
98.9%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
98.9%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
Outputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
Calls

3 calls:

2.0ms
x
2.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
98.6%1(exp.f64 x)
98.6%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
98.6%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
Outputs
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
Calls

3 calls:

2.0ms
x
1.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
98.2%1(exp.f64 x)
98.2%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
98.2%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Outputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
98.2%1(exp.f64 x)
98.2%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
98.2%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
-42.7MiB live, 4.7MiB allocated; 2ms collecting garbage
Accuracy

Total -57.9b remaining (-3603.3%)

Threshold costs -57.9b (-3603.3%)

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

3 calls:

1.0ms
x
1.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
97.5%1(exp.f64 x)
97.5%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
97.5%1x
Compiler

Compiled 7 to 7 computations (0% saved)

simplify47.0ms (0.9%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045124
186116
2304116
31941112
46127110
Stop Event
1×node limit
Calls
Call 1
Inputs
(expm1.f64 x)
#s(approx (- (exp x) 1) (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
#s(approx (- (exp x) 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) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) x)
Outputs
(expm1.f64 x)
#s(approx (- (exp x) 1) (*.f64 #s(approx (* (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) 1) (+ (+ (+ (* (* (* x x) x) 1/24) (* (* x x) 1/6)) (* x 1/2)) -1)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))) (/.f64 x (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 (vcubic.f64 #s(literal 1/24 binary64) #s(literal 1/6 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64) x) x))
#s(approx (- (exp x) 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) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) x)

derivations302.0ms (5.5%)

Memory
0.8MiB live, 96.0MiB allocated; 7ms collecting garbage
Stop Event
1×fuel
Samples
27.0ms512×0valid
Compiler

Compiled 124 to 50 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult!: 10.0ms (75.7% of total)
ival-add!: 3.0ms (22.7% of total)
adjust: 0.0ms (0% of total)

preprocess1.4s (25.4%)

Memory
58.7MiB live, 1 075.6MiB allocated; 131ms collecting garbage
Samples
1.1s16 512×0valid
Compiler

Compiled 256 to 108 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 584.0ms
ival-mult!: 483.0ms (82.7% of total)
ival-add!: 98.0ms (16.8% of total)
adjust: 3.0ms (0.5% of total)

end0.0ms (0%)

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

Profiling

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