expq2 (section 3.11)

Time bar (total: 8.2s)

analyze5.0ms (0.1%)

Memory
-36.6MiB live, 1.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
50%37.6%37.6%24.8%0%0%0%2
75%56.4%18.8%24.8%0%0%0%3
87.5%65.8%9.4%24.8%0%0%0%4
93.8%70.5%4.7%24.8%0%0%0%5
96.9%72.8%2.3%24.8%0%0%0%6
98.4%74%1.2%24.8%0%0%0%7
99.2%74.6%0.6%24.8%0%0%0%8
99.6%74.9%0.3%24.8%0%0%0%9
99.8%75%0.1%24.8%0%0%0%10
99.9%75.1%0.1%24.8%0%0%0%11
100%75.1%0%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample570.0ms (7%)

Memory
55.7MiB live, 632.5MiB allocated
Samples
377.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-exp: 69.0ms (31.1% of total)
ival-div: 58.0ms (26.2% of total)
ival-expm1: 56.0ms (25.3% of total)
ival->: 28.0ms (12.6% of total)
exact: 7.0ms (3.2% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess33.0ms (0.4%)

Memory
-18.5MiB live, 18.0MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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))

explain69.0ms (0.8%)

Memory
6.3MiB live, 92.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1700-1(-0.010924624597005673)(-.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))cancellation1691
Confusion
Predicted +Predicted -
+1691
-086
Precision
1.0
Recall
0.9941176470588236
Confusion?
Predicted +Predicted MaybePredicted -
+16910
-0086
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
087
1169
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (42.6% of total)
ival-exp: 4.0ms (28.4% of total)
ival-expm1: 3.0ms (21.3% 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)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.9%
(/.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
4.4MiB live, 4.4MiB allocated
Algorithm
1×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
4×lower-+.f64
4×lower-+.f32
2×lower-expm1.f64
2×lift-exp.f64
2×lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11315
21415
01411
Stop Event
1×iter limit
1×saturated
1×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)

localize20.0ms (0.2%)

Memory
-14.7MiB live, 23.5MiB 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)))
✓accuracy38.4%
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Samples
13.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (50.8% of total)
ival-div: 2.0ms (25.4% of total)
ival-expm1: 1.0ms (12.7% 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
2.5MiB live, 2.5MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (exp.f64 x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
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)

simplify302.0ms (3.7%)

Memory
13.3MiB live, 325.7MiB allocated
Algorithm
1×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
1×iter limit
1×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)

rewrite518.0ms (6.3%)

Memory
-88.4MiB live, 356.2MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (expm1.f64 x)))
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(/.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)))

eval50.0ms (0.6%)

Memory
7.8MiB live, 86.5MiB allocated
Compiler

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

prune45.0ms (0.6%)

Memory
11.3MiB live, 88.7MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4076413
Fresh000
Picked101
Done000
Total4086414
Accuracy
100.0%
Counts
414 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
▶100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶67.2%
#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))))
▶67.3%
#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))))
▶67.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶67.5%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Compiler

Compiled 112 to 74 computations (33.9% saved)

simplify47.0ms (0.6%)

Memory
-31.4MiB live, 11.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize77.0ms (0.9%)

Memory
36.9MiB live, 112.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
✓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)))
✓accuracy99.7%
(*.f64 x #s(literal -1/720 binary64))
✓accuracy67.2%
#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)))
✓accuracy67.3%
#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))
✓accuracy67.5%
#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)
✓accuracy67.6%
#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
43.0ms256×0valid
Compiler

Compiled 121 to 23 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 6.0ms (20.6% of total)
const: 6.0ms (20.6% of total)
ival-div: 5.0ms (17.2% of total)
ival-add: 4.0ms (13.8% of total)
ival-expm1: 3.0ms (10.3% of total)
ival-exp: 2.0ms (6.9% of total)
ival-neg: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-24.5MiB live, 11.9MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))>
#<alt (expm1.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))>
#<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))))>
#<alt (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<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))))>
#<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)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))>
#<alt (*.f64 x #s(literal -1/720 binary64))>
Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+ (* x 1/12) (+ (/ 1 x) 1/2))
1.0ms
x
@inf
(+ (* x 1/12) (+ (/ 1 x) 1/2))
1.0ms
x
@inf
(/ -1 (- (exp (neg x)) 1))
0.0ms
x
@-inf
(/ -1 (- (exp (neg x)) 1))
0.0ms
x
@0
(/ -1 (- (exp (neg x)) 1))

simplify219.0ms (2.7%)

Memory
24.1MiB live, 302.5MiB allocated
Algorithm
1×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
1×iter limit
1×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))

rewrite376.0ms (4.6%)

Memory
-10.9MiB live, 458.5MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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))))
(*.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 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(+.f64 (/.f64 (exp.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))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))))
(+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.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 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (exp.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))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)))
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(+.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)

eval96.0ms (1.2%)

Memory
40.1MiB live, 192.0MiB allocated
Compiler

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

prune84.0ms (1%)

Memory
-6.0MiB live, 193.7MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New73710747
Fresh101
Picked055
Done000
Total73815753
Accuracy
100.0%
Counts
753 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
✓100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶91.5%
(/.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)))))
▶90.0%
(/.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)))))
84.7%
(/.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)))))
✓67.2%
#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))))
✓67.3%
#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))))
▶3.0%
#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))))
▶38.4%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
23.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
✓67.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓67.5%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
38.4%
#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))))))
3.4%
#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 285 to 184 computations (35.4% saved)

simplify315.0ms (3.8%)

Memory
-9.7MiB live, 280.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff0
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
✓cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
✓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
8 778×lower-fma.f32
8 766×lower-fma.f64
2 996×lower-*.f32
2 990×lower-*.f64
1 420×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038255
060255
1114255
2228255
3414255
4718255
51331255
62636255
74499255
86702255
97972255
08004241
Stop Event
1×iter limit
1×node limit
1×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)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 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)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

localize124.0ms (1.5%)

Memory
-4.2MiB live, 186.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy98.8%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy70.9%
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
✓accuracy67.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
✓accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 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)))
✓accuracy99.8%
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy90.2%
#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)))
✓accuracy67.6%
#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))))
✓accuracy34.0%
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
✓accuracy67.7%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
✓accuracy34.0%
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
✓accuracy100.0%
(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))
✓accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
✓accuracy91.7%
#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
73.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 187 to 38 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 19.0ms (32.8% of total)
ival-div: 10.0ms (17.2% of total)
ival-add: 10.0ms (17.2% of total)
const: 9.0ms (15.5% of total)
ival-expm1: 3.0ms (5.2% of total)
ival-exp: 2.0ms (3.4% of total)
ival-sub: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<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)))))>
#<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))))>
#<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)))>
#<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))>
#<alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))>
#<alt #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))>
#<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))))>
#<alt (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))>
#<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)))))>
#<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))))>
#<alt (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))>
#<alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 x x)>
Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* 1/4 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (* 1/4 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (* 1/4 (pow x 2)) 1) (pow x 2))>
#<alt 1/4>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt 1/4>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt -1/6>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (* 1/24 x)>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

60 calls:

TimeVariablePointExpression
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
(* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1))
0.0ms
x
@inf
(* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1))
0.0ms
x
@inf
(/ (- 1/4 (/ 1 (* x x))) (+ 1/2 (/ -1 x)))

simplify271.0ms (3.3%)

Memory
-3.7MiB live, 353.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 780×lower-fma.f64
9 780×lower-fma.f32
3 102×lower-*.f64
3 102×lower-*.f32
1 624×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451668
13991656
211591588
335711584
477471584
082641326
Stop Event
1×iter limit
1×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)
(/ (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 (pow x 2))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
1/4
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
1/4
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 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 1/2 binary64) (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 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 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 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 1/2 binary64) (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 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))
(/ (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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(* 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #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)
(/ -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 (* -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)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
-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 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(fma.f64 x (fma.f64 x #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 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
1/4
#s(literal 1/4 binary64)
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
1/4
#s(literal 1/4 binary64)
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite347.0ms (4.2%)

Memory
25.1MiB live, 413.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 224×lower-fma.f32
4 212×lower-fma.f64
4 140×lower-/.f32
4 130×lower-/.f64
3 850×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038222
060214
1286202
22195202
08566188
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 478
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))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(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))
(*.f64 x x)
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 (/.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))))
(/.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)))
(/.f64 #s(literal 1 binary64) (neg.f64 (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 (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)))))
(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)
(-.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 (*.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 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))))
(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 (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)) (*.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 (*.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 (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))))) #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 (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))) (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 (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))))) #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 (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)) 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 (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 (*.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 (*.f64 x x)))) (neg.f64 (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 (neg.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))) (neg.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)) (neg.f64 x))))
(/.f64 (neg.f64 (*.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))) (*.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)))) (neg.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)))))
(/.f64 (neg.f64 (*.f64 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 (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)))) (neg.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))))
(/.f64 (neg.f64 (*.f64 (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))) (*.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)) (neg.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)))))
(/.f64 (neg.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)) x)) (neg.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))))
(/.f64 (fma.f64 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 (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)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x x (-.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 (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 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))
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(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) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #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))))
(exp.f64 (log.f64 (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))

eval121.0ms (1.5%)

Memory
-7.2MiB live, 179.8MiB allocated
Compiler

Compiled 16 298 to 1 824 computations (88.8% saved)

prune110.0ms (1.3%)

Memory
-9.2MiB live, 241.6MiB allocated
Pruning

31 alts after pruning (22 fresh and 9 done)

PrunedKeptTotal
New71219731
Fresh235
Picked145
Done055
Total71531746
Accuracy
100.0%
Counts
746 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
✓100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶91.5%
(/.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))))
39.0%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.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)))))
70.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.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)) 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)))))
74.9%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.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)))))
91.5%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
✓91.5%
(/.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)))))
91.5%
(/.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)))))
74.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.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)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
▶91.5%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
✓90.0%
(/.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)))))
▶74.7%
(/.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)))))
84.7%
(/.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)))))
70.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (/.f64 #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)) (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)))))))
29.0%
(/.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)))))))
27.4%
(/.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)))))))
27.1%
(/.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))))))))
27.6%
(/.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))))))
▶26.0%
(/.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)))))))
27.1%
(/.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)))))
26.0%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
✓67.2%
#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))))
✓67.3%
#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))))
✓3.0%
#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))))
2.2%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
✓67.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓67.5%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
38.4%
#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))))))
▶3.4%
#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 975 to 522 computations (46.5% saved)

simplify317.0ms (3.9%)

Memory
8.7MiB live, 446.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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)))
✓cost-diff0
#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))))
✓cost-diff0
(/.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)))))
✓cost-diff128
(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))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
#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)))
✓cost-diff0
(/.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))))
✓cost-diff128
(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))
✓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 (*.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 (*.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 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
✓cost-diff128
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))
Rules
12 684×lower-fma.f32
12 668×lower-fma.f64
4 182×lower-*.f32
4 164×lower-*.f64
1 720×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055473
084470
1148470
2296470
3763470
42156470
54425470
66560470
08170446
Stop Event
1×iter limit
1×node limit
1×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 (*.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 (*.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 (*.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 (*.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 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 1/24 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) (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(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)))
(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 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
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(literal 1/2 binary64)
(*.f64 x x)
(neg.f64 x)
(/.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)))))
#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 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)))
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 (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)))
(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 #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#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 (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 -1/2 binary64)
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (*.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))
(+.f64 (*.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 #s(literal 1/24 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) (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))))
(/.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) (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 (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))))
(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))
(*.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 #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
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(literal 1/2 binary64)
(*.f64 x x)
(neg.f64 x)
(/.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 (fma.f64 x (*.f64 x (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal -1/4 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)))))
#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))))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal -1/4 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))))
(*.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 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal -1/4 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 (/.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))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal -1/4 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))
(/.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 (fma.f64 x (*.f64 x (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal -1/144 binary64)) #s(literal 1/36 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)))
(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 (*.f64 x (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#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 (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 -1/2 binary64)

localize196.0ms (2.4%)

Memory
5.2MiB live, 315.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
✓accuracy99.6%
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
✓accuracy91.7%
#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))))
✓accuracy79.4%
(/.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)))
✓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%
(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))
✓accuracy99.8%
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
✓accuracy91.7%
#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)))
✓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))
✓accuracy90.2%
#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))))))
✓accuracy35.1%
#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))
✓accuracy67.6%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
✓accuracy34.3%
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
✓accuracy100.0%
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.9%
(fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.5%
(*.f64 x #s(literal 1/24 binary64))
✓accuracy91.7%
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
Samples
81.0ms255×0valid
2.0ms1×5exit
Compiler

Compiled 341 to 44 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 21.0ms (35% of total)
ival-add: 13.0ms (21.6% of total)
const: 10.0ms (16.6% of total)
ival-div: 9.0ms (15% of total)
ival-expm1: 3.0ms (5% of total)
ival-exp: 2.0ms (3.3% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-16.0MiB live, 20.4MiB allocated
Counts
28 → 336
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))>
#<alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))>
#<alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))>
#<alt (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))>
#<alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))>
#<alt #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<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)))))))>
#<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))))))>
#<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)))))>
#<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))))>
#<alt (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))>
#<alt (/.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))))>
#<alt #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)))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (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))>
#<alt (/.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)))))>
#<alt #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))))>
#<alt (*.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)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))>
#<alt (/.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)))>
#<alt (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))>
#<alt (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))>
Outputs
#<alt -1/6>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (* 1/24 x)>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt -1/4>
#<alt (- (* 1/36 (pow x 2)) 1/4)>
#<alt (- (* (pow x 2) (+ 1/36 (* -1/72 x))) 1/4)>
#<alt (- (* (pow x 2) (+ 1/36 (* x (- (* 1/576 x) 1/72)))) 1/4)>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (- 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/72 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/576 (/ 1/36 (pow x 2))) (+ (* 1/72 (/ 1 x)) (* 1/4 (/ 1 (pow x 4))))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (- 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/576 (* -1 (/ (- 1/72 (* 1/36 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/576 (* -1 (/ (+ 1/72 (* -1 (/ (- 1/36 (* 1/4 (/ 1 (pow x 2)))) x))) x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt -1/6>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (* 1/24 x)>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/24 x) 1/6))>
#<alt (* x (- (* 1/24 x) 1/6))>
#<alt (* x (- (* 1/24 x) 1/6))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 x) 1/6))>
#<alt (* (pow x 2) (- (* 1/24 x) 1/6))>
#<alt (* (pow x 2) (- (* 1/24 x) 1/6))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
Calls

84 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4)
0.0ms
x
@inf
(* x 1/12)
0.0ms
x
@-inf
(* x 1/12)
0.0ms
x
@-inf
(* x 1/24)
0.0ms
x
@0
(* x (+ (* x (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* x (+ (* x 1/24) -1/6)) -1/2))) -1))

simplify473.0ms (5.8%)

Memory
-4.9MiB live, 478.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 232×lower-fma.f64
16 232×lower-fma.f32
4 010×lower-*.f64
4 010×lower-*.f32
2 978×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01862492
15322460
214962378
343322372
087741994
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
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)
(* 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)
(/ -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)
1/2
(+ 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))))
-1/4
(- (* 1/36 (pow x 2)) 1/4)
(- (* (pow x 2) (+ 1/36 (* -1/72 x))) 1/4)
(- (* (pow x 2) (+ 1/36 (* x (- (* 1/576 x) 1/72)))) 1/4)
(* 1/576 (pow x 4))
(* (pow x 4) (- 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/72 (/ 1 x))))
(* (pow x 4) (- (+ 1/576 (/ 1/36 (pow x 2))) (+ (* 1/72 (/ 1 x)) (* 1/4 (/ 1 (pow x 4))))))
(* 1/576 (pow x 4))
(* (pow x 4) (- 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (+ 1/576 (* -1 (/ (- 1/72 (* 1/36 (/ 1 x))) x))))
(* (pow x 4) (+ 1/576 (* -1 (/ (+ 1/72 (* -1 (/ (- 1/36 (* 1/4 (/ 1 (pow x 2)))) 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)
(/ -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))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
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
(- (* 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)))
1/2
(+ 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
(- (* 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))))
(* -1/6 x)
(* x (- (* 1/24 x) 1/6))
(* x (- (* 1/24 x) 1/6))
(* 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 (* 1/6 (/ 1 x))))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* -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)))
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 (*.f64 x (*.f64 x 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 (*.f64 x (*.f64 x x)) 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 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 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 (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 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 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) 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 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 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 (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 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)
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(*.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)
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(*.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)))
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 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 (fma.f64 #s(literal -1/6 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
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(* 1/24 x)
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(* 1/24 x)
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(* 1/24 x)
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(* 1/24 x)
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(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
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(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
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(* 1/24 x)
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(* 1/24 x)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
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(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
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(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
-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 (* x (- (* 1/24 x) 1/6)))) 1)
(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 3))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #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 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/24 (pow x 3))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #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 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/6 x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/6 x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/6 x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 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))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 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))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))
-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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/24 x) 1/6))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(* x (- (* 1/24 x) 1/6))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
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(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(* 1/24 (pow x 2))
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(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
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(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
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(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/24 x) 1/6))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* (pow x 2) (- (* 1/24 x) 1/6))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* (pow x 2) (- (* 1/24 x) 1/6))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* 1/24 (pow x 3))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* 1/24 (pow x 3))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))

rewrite647.0ms (7.9%)

Memory
36.4MiB live, 544.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 028×lower-fma.f32
5 014×lower-fma.f64
4 582×lower-/.f32
4 576×lower-/.f64
4 438×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055410
084347
1347343
22539343
09392319
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 868
Calls
Call 1
Inputs
(+.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 (+.f64 (*.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 (*.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 (*.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))))
(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))
(/.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 (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)))
(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 #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)))))
#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 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 x #s(literal 1/24 binary64))
(fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #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))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 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 x (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))))
Outputs
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 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))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 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))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x 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) (neg.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x 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 (*.f64 x 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 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 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x 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 (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 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 #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 (*.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))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x 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 (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 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))))
(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 (/.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))))
(/.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)))
(/.f64 #s(literal 1 binary64) (neg.f64 (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 (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)))))
(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 #s(literal 0 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 x))))
(-.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 (*.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 (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 x x) (*.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 (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)
(-.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 (*.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)))) (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)) (/.f64 (*.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) 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 (*.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))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.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))) (fma.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)) x)))) (/.f64 (*.f64 x (*.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 (*.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))) (fma.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)) x)))))
(-.f64 (/.f64 (*.f64 x x) (-.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 (*.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 (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)))))
(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 #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 (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))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(*.f64 x (*.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 x))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x)

eval177.0ms (2.2%)

Memory
24.9MiB live, 447.9MiB allocated
Compiler

Compiled 48 557 to 2 995 computations (93.8% saved)

prune143.0ms (1.7%)

Memory
-10.9MiB live, 318.3MiB allocated
Pruning

34 alts after pruning (22 fresh and 12 done)

PrunedKeptTotal
New1 302131 315
Fresh8917
Picked235
Done099
Total1 312341 346
Accuracy
100.0%
Counts
1 346 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
✓100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
90.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (*.f64 x x) (neg.f64 x))))
90.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) (neg.f64 x))))
84.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
70.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.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)) 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)))))
41.0%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (*.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 (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))))
91.5%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
✓91.5%
(/.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)))))
91.5%
(/.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)))))
✓91.5%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
✓90.0%
(/.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)))))
92.2%
(/.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 #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
73.9%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/576 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)))))
91.5%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 #s(literal 1 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)))) #s(literal -1 binary64)))))
84.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* x (+ (* x 1/24) -1/6)) -1/2)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
29.0%
(/.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 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))))))
27.4%
(/.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)))))))
27.1%
(/.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))))))))
27.1%
(/.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 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))))))
✓26.0%
(/.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)))))))
27.6%
(/.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)))))))
20.9%
(/.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)))))))
26.0%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
27.6%
(/.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))))))
✓67.2%
#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))))
✓67.3%
#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))))
✓3.0%
#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))))
2.2%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
✓67.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓67.5%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
38.4%
#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))))))
✓3.4%
#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 1 305 to 488 computations (62.6% saved)

regimes47.0ms (0.6%)

Memory
-24.2MiB live, 93.1MiB allocated
Counts
49 → 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.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) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 -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)))))
#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 #s(literal 1/24 binary64) (*.f64 x (*.f64 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) (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 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 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 (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 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 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (fma.f64 x #s(literal -1/6 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)) (*.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)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.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 (/.f64 #s(literal 1 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)))) #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 (/.f64 #s(approx (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/576 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 (/.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 #s(approx (+ (* x 1/24) -1/6) #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 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.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)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(/.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 (*.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)) 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 (/.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)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (/.f64 #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)) (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 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (*.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 (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 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.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 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Calls

3 calls:

18.0ms
(exp.f64 x)
13.0ms
x
12.0ms
(/.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)

regimes37.0ms (0.4%)

Memory
19.6MiB live, 96.3MiB allocated
Counts
45 → 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.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) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 -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)))))
#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 #s(literal 1/24 binary64) (*.f64 x (*.f64 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) (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 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 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 (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 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 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (fma.f64 x #s(literal -1/6 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)) (*.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)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.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 (/.f64 #s(literal 1 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)))) #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 (/.f64 #s(approx (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/576 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 (/.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 #s(approx (+ (* x 1/24) -1/6) #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 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.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)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(/.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 (*.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)) 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 (/.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)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (/.f64 #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)) (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 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (*.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 (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 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.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)))))
Outputs
(/.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 #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
Calls

3 calls:

13.0ms
x
11.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
10.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
92.2%1x
92.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
92.2%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes32.0ms (0.4%)

Memory
-0.3MiB live, 80.3MiB allocated
Counts
36 → 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.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) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 -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)))))
#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 #s(literal 1/24 binary64) (*.f64 x (*.f64 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) (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 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 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 (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 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 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (fma.f64 x #s(literal -1/6 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)) (*.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)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.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 (/.f64 #s(literal 1 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)))) #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 (/.f64 #s(approx (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/576 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)))))
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:

10.0ms
(exp.f64 x)
10.0ms
x
9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
91.5%1(exp.f64 x)
91.5%1x
91.5%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes22.0ms (0.3%)

Memory
17.7MiB live, 56.7MiB allocated
Counts
25 → 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.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) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 -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)))))
#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 #s(literal 1/24 binary64) (*.f64 x (*.f64 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) (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 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 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 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #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 (+ (* 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:

7.0ms
x
7.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
91.6%2x
90.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
91.6%2(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes15.0ms (0.2%)

Memory
-6.4MiB live, 32.6MiB allocated
Counts
24 → 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.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) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 -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)))))
#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 #s(literal 1/24 binary64) (*.f64 x (*.f64 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) (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 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x 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:

7.0ms
x
7.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
91.6%2x
91.6%2(exp.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes15.0ms (0.2%)

Memory
-8.3MiB live, 30.7MiB allocated
Counts
22 → 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.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) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 -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)))))
#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 #s(literal 1/24 binary64) (*.f64 x (*.f64 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))))))))
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:

9.0ms
x
5.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
91.6%2(exp.f64 x)
91.6%2x
Compiler

Compiled 5 to 3 computations (40% saved)

regimes21.0ms (0.3%)

Memory
-12.2MiB live, 35.7MiB allocated
Counts
19 → 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.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) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 -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)))))
#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:

9.0ms
(exp.f64 x)
6.0ms
x
5.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
90.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
90.0%1(exp.f64 x)
90.0%1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes16.0ms (0.2%)

Memory
-2.4MiB live, 36.5MiB allocated
Counts
17 → 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.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) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 -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) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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:

6.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
90.1%2x
89.1%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
90.1%2(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes10.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.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))))))
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
90.1%2x
90.1%2(exp.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes15.0ms (0.2%)

Memory
-16.7MiB live, 22.0MiB allocated
Counts
12 → 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)) (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) (*.f64 x (fma.f64 x #s(approx (/ (+ (* (+ (* x 1/24) -1/6) (* x (* x (+ (* x 1/24) -1/6)))) -1/4) (+ (* 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) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- 1/4 (/ 1 (* x x))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
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:

8.0ms
x
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
84.7%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
84.7%1x
84.7%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
7 → 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)) (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
85.0%2x
85.0%2(exp.f64 x)
84.0%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
6 → 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)) (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
67.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
67.6%1x
67.6%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory
-28.3MiB live, 10.3MiB 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:

2.0ms
(exp.f64 x)
2.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
3.4%1x
3.4%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.4%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory
7.3MiB live, 7.3MiB 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
3.2%1x
3.2%1(exp.f64 x)
3.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.452882977313967e-85
0.7310226928101325
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch12.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-194.22618115801592
-0.3133107761982853
Samples
6.0ms128×0valid
Compiler

Compiled 267 to 176 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (27.4% of total)
ival-exp: 1.0ms (27.4% of total)
ival-expm1: 1.0ms (27.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
3.0ms
-194.22618115801592
-0.3133107761982853
Samples
1.0ms32×0valid
Compiler

Compiled 259 to 168 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-expm1: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.452882977313967e-85
0.7310226928101325
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch2.0ms (0%)

Memory
-41.4MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
2.0ms
4.452882977313967e-85
0.7310226928101325
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.452882977313967e-85
0.7310226928101325
Compiler

Compiled 10 to 9 computations (10% saved)

simplify11.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Algorithm
1×egg-herbie
Rules
40×*-commutative_binary64
4×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118462
1143462
2145462
3146462
Stop Event
1×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 (/.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 #s(approx (+ (* x 1/24) -1/6) #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)))))
(if (<=.f64 (exp.f64 x) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 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 x #s(literal -8106479329266893/2251799813685248 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 x #s(literal -4278419646001971/1125899906842624 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 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 (/.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 #s(approx (+ (* x 1/24) -1/6) #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)))))
(if (<=.f64 (exp.f64 x) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 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 x #s(literal -8106479329266893/2251799813685248 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 x #s(literal -8106479329266893/2251799813685248 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 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.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)))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 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 x #s(literal -4278419646001971/1125899906842624 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 (*.f64 x 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 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 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 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)))

soundness2.0s (24.7%)

Memory
10.9MiB live, 1 184.6MiB allocated
Rules
16 232×lower-fma.f64
16 232×lower-fma.f32
10 384×lower-fma.f64
10 384×lower-fma.f32
9 780×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044202
1122202
2258202
3571202
4827202
5976202
61003202
71097196
81514196
91932196
103331196
114894196
125180196
135566196
146116196
156842196
010190150
01862492
15322460
214962378
343322372
087741994
0513
0813
13313
218813
3180813
087749
0991037
12521036
26891016
320731003
46078957
08271797
01451668
13991656
211591588
335711584
477471584
082641326
038222
060214
1286202
22195202
08566188
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 607 to 310 computations (48.9% saved)

preprocess94.0ms (1.1%)

Memory
12.9MiB live, 204.9MiB allocated
Compiler

Compiled 538 to 164 computations (69.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...