expq2 (section 3.11)

Time bar (total: 8.3s)

analyze1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
50%37.6%37.6%24.8%0%0%0%2
75%56.4%18.8%24.8%0%0%0%3
87.5%65.8%9.4%24.8%0%0%0%4
93.8%70.5%4.7%24.8%0%0%0%5
96.9%72.8%2.3%24.8%0%0%0%6
98.4%74%1.2%24.8%0%0%0%7
99.2%74.6%0.6%24.8%0%0%0%8
99.6%74.9%0.3%24.8%0%0%0%9
99.8%75%0.1%24.8%0%0%0%10
99.9%75.1%0.1%24.8%0%0%0%11
100%75.1%0%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample543.0ms (6.5%)

Memory
5.8MiB live, 743.1MiB allocated
Samples
350.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-exp: 84.0ms (37.5% of total)
ival-div: 60.0ms (26.8% of total)
ival-expm1: 47.0ms (21% of total)
ival->: 24.0ms (10.7% of total)
exact: 6.0ms (2.7% of total)
ival-assert: 4.0ms (1.8% of total)
Bogosity

preprocess30.0ms (0.4%)

Memory
-1.9MiB live, 35.9MiB allocated
Algorithm
egg-herbie
Rules
116×div-sub
78×times-frac
76×sub-neg
64×distribute-rgt-in
64×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
12219
24218
37818
413212
524212
634312
744812
856512
960612
1063412
1168412
057
087
1137
2147
0145
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))

explain67.0ms (0.8%)

Memory
28.9MiB live, 107.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1660-0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) #s(literal 1 binary64))cancellation1661
Confusion
Predicted +Predicted -
+1660
-090
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16600
-0189
Precision?
0.9940119760479041
Recall?
1.0
Freqs
test
numberfreq
090
1166
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
22.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 4.0ms (35.2% of total)
ival-div: 3.0ms (26.4% of total)
ival-expm1: 3.0ms (26.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune8.0ms (0.1%)

Memory
-50.3MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.5%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
cost-diff192
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Rules
lower-+.f64
lower-+.f32
lower-expm1.f64
lift-exp.f64
lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11315
21415
01411
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
#s(literal 1 binary64)

localize17.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy40.2%
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (36.3% of total)
ival-exp: 2.0ms (36.3% of total)
ival-expm1: 2.0ms (36.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (exp x) (- (exp x) 1))
0.0ms
x
@-inf
(/ (exp x) (- (exp x) 1))
0.0ms
x
@0
(- (exp x) 1)
0.0ms
x
@0
(/ (exp x) (- (exp x) 1))
0.0ms
x
@inf
(- (exp x) 1)

simplify298.0ms (3.6%)

Memory
15.4MiB live, 282.6MiB allocated
Algorithm
egg-herbie
Rules
10 384×lower-fma.f64
10 384×lower-fma.f32
4 444×lower-*.f64
4 444×lower-*.f32
1 914×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044202
1122202
2258202
3571202
4827202
5976202
61003202
71097196
81514196
91932196
103331196
114894196
125180196
135566196
146116196
156842196
010190150
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
Outputs
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

rewrite283.0ms (3.4%)

Memory
-17.8MiB live, 343.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 384×lower-/.f32
5 382×lower-/.f64
3 398×lower-fma.f64
3 398×lower-fma.f32
3 144×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13313
218813
3180813
087749
Stop Event
iter limit
node limit
iter limit
Counts
3 → 351
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x)))
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(/.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (expm1.f64 x))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x)))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (-.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))

eval55.0ms (0.7%)

Memory
-7.3MiB live, 66.8MiB allocated
Compiler

Compiled 9 762 to 1 201 computations (87.7% saved)

prune55.0ms (0.7%)

Memory
29.3MiB live, 111.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4085413
Fresh000
Picked101
Done000
Total4095414
Accuracy
100.0%
Counts
414 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Compiler

Compiled 86 to 60 computations (30.2% saved)

simplify17.0ms (0.2%)

Memory
-20.6MiB live, 18.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal -1/720 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
(expm1.f64 (neg.f64 x))
cost-diff0
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Rules
196×lower-+.f32
194×lower-+.f64
182×lower-fma.f32
176×lower-fma.f64
96×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022144
035144
162144
297144
3134144
4155144
5161144
6194144
7249144
8279144
9285144
0285136
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
x
#s(literal 1/12 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
x
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
x
#s(literal 1/12 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))
x
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

localize79.0ms (1%)

Memory
26.9MiB live, 103.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
accuracy99.9%
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
accuracy99.6%
(*.f64 x #s(literal -1/720 binary64))
accuracy66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
accuracy99.8%
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
accuracy65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
accuracy65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(expm1.f64 (neg.f64 x))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Samples
42.0ms255×0valid
0.0ms1valid
Compiler

Compiled 121 to 23 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
const: 7.0ms (23.9% of total)
ival-mult: 6.0ms (20.5% of total)
ival-div: 5.0ms (17.1% of total)
ival-add: 4.0ms (13.7% of total)
ival-expm1: 3.0ms (10.3% of total)
ival-exp: 2.0ms (6.8% of total)
ival-neg: 1.0ms (3.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-28.9MiB live, 11.6MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/12 (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
5.0ms
x
@0
(* x -1/720)
1.0ms
x
@inf
(+ (* x 1/12) (+ (/ 1 x) 1/2))
1.0ms
x
@-inf
(* x -1/720)
1.0ms
x
@inf
(/ -1 (- (exp (neg x)) 1))
0.0ms
x
@-inf
(/ -1 (- (exp (neg x)) 1))

simplify219.0ms (2.6%)

Memory
34.3MiB live, 263.0MiB allocated
Algorithm
egg-herbie
Rules
8 646×lower-fma.f64
8 646×lower-fma.f32
2 730×lower-*.f64
2 730×lower-*.f32
1 608×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0991037
12521036
26891016
320731003
46078957
08271797
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* -1/720 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1/720 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))

rewrite368.0ms (4.4%)

Memory
-10.7MiB live, 420.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 200×lower-fma.f32
7 194×lower-fma.f64
4 154×lower-/.f32
4 150×lower-/.f64
3 736×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022109
035109
1154109
21169109
08247101
Stop Event
iter limit
node limit
iter limit
Counts
13 → 421
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal -1/720 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
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(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) (*.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) x)

eval94.0ms (1.1%)

Memory
39.4MiB live, 152.0MiB allocated
Compiler

Compiled 20 046 to 1 394 computations (93% saved)

prune389.0ms (4.7%)

Memory
-71.9MiB live, 199.7MiB allocated
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New7389747
Fresh000
Picked055
Done000
Total73814752
Accuracy
100.0%
Counts
752 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
93.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
89.4%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
85.8%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
2.7%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
3.0%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
15.6%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
37.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
Compiler

Compiled 269 to 164 computations (39% saved)

simplify294.0ms (3.5%)

Memory
-16.4MiB live, 374.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
cost-diff192
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
cost-diff640
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
cost-diff0
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
cost-diff0
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Rules
8 336×lower-fma.f32
8 322×lower-fma.f64
2 338×lower-*.f32
2 330×lower-*.f64
1 904×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045324
070320
1145320
2294320
3500320
4732316
51093316
62236316
73321316
85266316
97625316
08171297
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
x
#s(literal 1/12 binary64)
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
x
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal -1/720 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
x
#s(literal 1/12 binary64)
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
#s(literal -1/720 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)

localize140.0ms (1.7%)

Memory
26.0MiB live, 181.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy99.9%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
accuracy71.2%
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
accuracy66.0%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
accuracy99.9%
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
accuracy99.8%
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
accuracy89.4%
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
accuracy99.8%
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
accuracy65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
accuracy36.1%
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
accuracy65.9%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
accuracy36.1%
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
accuracy99.9%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
accuracy99.8%
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
accuracy93.2%
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
Samples
90.0ms255×0valid
1.0ms1valid
Compiler

Compiled 223 to 43 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 24.0ms (32.7% of total)
ival-add: 18.0ms (24.5% of total)
const: 12.0ms (16.4% of total)
ival-div: 9.0ms (12.3% of total)
ival-neg: 4.0ms (5.5% of total)
ival-expm1: 3.0ms (4.1% of total)
ival-exp: 2.0ms (2.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-28.4MiB live, 20.6MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) (patch (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) (patch (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) (patch #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
Outputs
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#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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Calls

60 calls:

TimeVariablePointExpression
12.0ms
x
@inf
(/ (+ (/ 1 x) 1/2) x)
1.0ms
x
@inf
(* x (+ (* x (+ (* x -1/6) 1/2)) -1))
0.0ms
x
@-inf
(* x (+ (* x (+ (* x -1/6) 1/2)) -1))
0.0ms
x
@-inf
(/ (+ (/ 1 x) 1/2) x)
0.0ms
x
@inf
(* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1))

simplify340.0ms (4.1%)

Memory
39.6MiB live, 423.0MiB allocated
Algorithm
egg-herbie
Rules
14 670×lower-fma.f64
14 670×lower-fma.f32
4 770×lower-*.f64
4 770×lower-*.f32
2 482×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01701864
14711846
214851822
349201776
087471485
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
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(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))

rewrite322.0ms (3.9%)

Memory
-21.4MiB live, 456.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 836×lower-*.f32
5 828×lower-*.f64
4 002×lower-fma.f32
3 988×lower-fma.f64
3 146×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045274
070272
1333272
22600272
08109253
Stop Event
iter limit
node limit
iter limit
Counts
20 → 337
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (neg.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 x))
(-.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) x)
(-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) x)
(fma.f64 #s(literal -1 binary64) x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) x (neg.f64 x))
(/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 x)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
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(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) x #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))
(*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))

eval138.0ms (1.7%)

Memory
1.7MiB live, 116.6MiB allocated
Compiler

Compiled 14 396 to 1 303 computations (90.9% saved)

prune145.0ms (1.7%)

Memory
16.8MiB live, 251.4MiB allocated
Pruning

30 alts after pruning (20 fresh and 10 done)

PrunedKeptTotal
New57218590
Fresh224
Picked055
Done055
Total57430604
Accuracy
100.0%
Counts
604 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
93.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
89.4%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
74.9%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
72.3%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
93.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
72.9%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
93.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
93.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
89.4%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
72.9%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
85.8%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
71.9%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
32.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
30.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
30.3%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
28.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
27.0%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
30.3%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
2.7%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
3.0%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
15.6%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
37.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
Compiler

Compiled 882 to 494 computations (44% saved)

simplify319.0ms (3.8%)

Memory
-7.1MiB live, 471.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
cost-diff320
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
cost-diff640
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64))
cost-diff0
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
cost-diff0
#s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
cost-diff0
(*.f64 x #s(literal 1/12 binary64))
cost-diff0
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
cost-diff320
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
Rules
12 414×lower-fma.f32
12 398×lower-fma.f64
3 144×lower-*.f32
3 124×lower-*.f64
2 776×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069561
098543
1207519
2444519
3865519
42026519
53670519
67985519
08167478
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(*.f64 x x)
#s(literal 1/576 binary64)
#s(literal -1/36 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
x
#s(literal 1/12 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
x
#s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
x
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
x
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64))
(*.f64 x x)
(+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(literal -1/720 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal 1 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(*.f64 x x)
#s(literal 1/576 binary64)
#s(literal -1/36 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
x
#s(literal 1/12 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
x
#s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
x
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))
x
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 x x)
(+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(literal -1/720 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal 1 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)

localize295.0ms (3.5%)

Memory
17.1MiB live, 381.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy71.2%
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
accuracy66.0%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
accuracy57.3%
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64))
accuracy99.8%
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
accuracy99.7%
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
accuracy93.2%
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
accuracy37.0%
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
accuracy99.9%
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
accuracy99.8%
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
accuracy89.4%
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
accuracy36.8%
#s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
accuracy99.5%
(*.f64 x #s(literal 1/12 binary64))
accuracy65.9%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
accuracy36.5%
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
accuracy99.8%
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
accuracy93.2%
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
accuracy81.0%
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
Samples
164.0ms255×0valid
1.0ms1valid
Compiler

Compiled 356 to 60 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-mult: 55.0ms (38.5% of total)
const: 35.0ms (24.5% of total)
ival-div: 28.0ms (19.6% of total)
ival-add: 17.0ms (11.9% of total)
ival-expm1: 3.0ms (2.1% of total)
ival-exp: 2.0ms (1.4% of total)
ival-neg: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-1.7MiB live, 36.2MiB allocated
Counts
26 → 312
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) (patch #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/12 binary64)) (patch (*.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (patch (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (patch (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (patch #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) (patch (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt -1/6 (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

78 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(+ (* x 1/24) 1/6)
0.0ms
x
@0
(* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6)))
0.0ms
x
@inf
(* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6)))
0.0ms
x
@0
(+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12)
0.0ms
x
@-inf
(* (* x x) (+ (* x 1/24) -1/6))

simplify317.0ms (3.8%)

Memory
-14.1MiB live, 458.9MiB allocated
Algorithm
egg-herbie
Rules
12 366×lower-fma.f64
12 366×lower-fma.f32
5 258×lower-*.f64
5 258×lower-*.f32
1 966×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02292459
16432407
218432359
356162284
084781958
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/12 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (+ 1/12 (* -1/720 (pow x 2))))) (pow x 2))
(/ (+ 1 (* (pow x 2) (+ 1/12 (* -1/720 (pow x 2))))) (pow x 2))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/720))
(* (pow x 2) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/720))
(* (pow x 2) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/720))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
6
(+ 6 (* -3/2 x))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(/ 24 x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(/ 24 x)
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* -1/6 x)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/24 x) 1/6))
(* (pow x 2) (- (* 1/24 x) 1/6))
(* (pow x 2) (- (* 1/24 x) 1/6))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
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(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))

rewrite389.0ms (4.7%)

Memory
39.0MiB live, 387.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 506×lower-*.f32
4 486×lower-*.f64
3 990×lower-fma.f32
3 974×lower-fma.f64
2 794×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069461
098450
1459391
23709391
08283361
Stop Event
iter limit
node limit
iter limit
Counts
26 → 384
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64))
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(*.f64 x (*.f64 x x))
Outputs
(+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64)))
(+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal -1/144 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) (*.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) (*.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
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(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

eval153.0ms (1.8%)

Memory
1.5MiB live, 117.9MiB allocated
Compiler

Compiled 16 366 to 1 829 computations (88.8% saved)

prune220.0ms (2.6%)

Memory
-15.4MiB live, 264.1MiB allocated
Pruning

32 alts after pruning (20 fresh and 12 done)

PrunedKeptTotal
New68313696
Fresh8715
Picked235
Done1910
Total69432726
Accuracy
100.0%
Counts
726 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
93.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
89.4%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
93.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
96.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
96.1%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
95.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
95.3%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
89.4%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
85.8%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
32.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)))))
32.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
30.3%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
28.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
30.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
30.3%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
27.0%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
28.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
23.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
28.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
2.7%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
66.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
65.9%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
3.0%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
15.6%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
36.8%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
37.1%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
Compiler

Compiled 1 179 to 466 computations (60.5% saved)

regimes39.0ms (0.5%)

Memory
10.0MiB live, 86.7MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Calls

3 calls:

14.0ms
x
12.0ms
(exp.f64 x)
10.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes40.0ms (0.5%)

Memory
2.4MiB live, 81.9MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Calls

3 calls:

15.0ms
x
12.0ms
(exp.f64 x)
10.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
96.2%1x
96.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
96.2%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes33.0ms (0.4%)

Memory
-3.1MiB live, 73.3MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Calls

3 calls:

12.0ms
x
10.0ms
(exp.f64 x)
9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
96.1%1x
96.1%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
96.1%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes33.0ms (0.4%)

Memory
0.8MiB live, 80.0MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Calls

3 calls:

13.0ms
x
9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
95.7%1x
95.7%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
95.7%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes29.0ms (0.4%)

Memory
3.3MiB live, 81.5MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Calls

3 calls:

11.0ms
x
9.0ms
(exp.f64 x)
8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
95.3%1x
95.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
95.3%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes49.0ms (0.6%)

Memory
-26.3MiB live, 66.8MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Calls

3 calls:

31.0ms
x
8.0ms
(exp.f64 x)
8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
93.2%1x
93.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
93.2%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes23.0ms (0.3%)

Memory
31.6MiB live, 31.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Calls

3 calls:

8.0ms
x
7.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
93.5%2x
92.1%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
93.5%2(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes95.0ms (1.1%)

Memory
-12.0MiB live, 26.9MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Calls

2 calls:

87.0ms
(exp.f64 x)
7.0ms
x
Results
AccuracySegmentsBranch
93.5%2x
93.5%2(exp.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes14.0ms (0.2%)

Memory
-2.8MiB live, 36.1MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x)))))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Calls

2 calls:

7.0ms
x
5.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
93.5%2x
93.5%2(exp.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes17.0ms (0.2%)

Memory
1.8MiB live, 40.8MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Calls

3 calls:

7.0ms
x
5.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
89.4%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
89.4%1x
89.4%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes16.0ms (0.2%)

Memory
-11.6MiB live, 29.9MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Calls

3 calls:

7.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
89.6%2x
89.6%2(exp.f64 x)
88.4%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes9.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)))))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Calls

2 calls:

5.0ms
x
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
89.6%2x
89.6%2(exp.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes11.0ms (0.1%)

Memory
-20.6MiB live, 17.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
85.8%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
85.8%1x
85.8%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes9.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
86.2%2x
86.2%2(exp.f64 x)
85.0%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
66.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
66.0%1x
66.0%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.1%)

Memory
-29.4MiB live, 9.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
Calls

3 calls:

3.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
3.2%1x
3.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.2%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
3.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0%1(exp.f64 x)
3.0%1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.3944814028903556
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.3944814028903556
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.3944814028903556
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.3944814028903556
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.3944814028903556
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.3944814028903556
Compiler

Compiled 10 to 9 computations (10% saved)

simplify12.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Algorithm
egg-herbie
Rules
52×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147570
1177570
2179570
3180570
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))

soundness2.1s (25.2%)

Memory
2.2MiB live, 1 217.2MiB allocated
Rules
14 670×lower-fma.f64
14 670×lower-fma.f32
12 366×lower-fma.f64
12 366×lower-fma.f32
10 384×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02292459
16432407
218432359
356162284
084781958
044202
1122202
2258202
3571202
4827202
5976202
61003202
71097196
81514196
91932196
103331196
114894196
125180196
135566196
146116196
156842196
010190150
0991037
12521036
26891016
320731003
46078957
08271797
01701864
14711846
214851822
349201776
087471485
0513
0813
13313
218813
3180813
087749
045274
070272
1333272
22600272
08109253
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 806 to 418 computations (48.1% saved)

preprocess116.0ms (1.4%)

Memory
30.7MiB live, 186.5MiB allocated
Compiler

Compiled 682 to 204 computations (70.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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