Kahan's exp quotient

Time bar (total: 9.9s)

analyze1.0ms (0%)

Memory
2.4MiB live, 2.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample514.0ms (5.2%)

Memory
15.3MiB live, 1 014.6MiB allocated
Samples
319.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-div: 88.0ms (51.7% of total)
ival-expm1: 73.0ms (42.9% of total)
ival-true: 6.0ms (3.5% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

preprocess54.0ms (0.5%)

Memory
-1.3MiB live, 116.0MiB allocated
Algorithm
egg-herbie
Rules
240×lower-fma.f64
240×lower-fma.f32
176×lower-*.f64
176×lower-*.f32
168×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
12715
27014
320914
452314
566914
679014
782514
882614
056
086
1166
2196
3256
4346
5466
6666
71106
81736
93216
104756
115696
126366
138446
148516
158526
08524
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (expm1.f64 x) x)

explain71.0ms (0.7%)

Memory
2.6MiB live, 203.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
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))cancellation1120
Confusion
Predicted +Predicted -
+1120
-0144
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11200
-00144
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0144
1112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 46 to 24 computations (47.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-expm1: 5.0ms (34.4% of total)
ival-div: 4.0ms (27.5% of total)
ival-exp: 4.0ms (27.5% 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Memory
-36.6MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify29.0ms (0.3%)

Memory
29.8MiB live, 69.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
cost-diff192
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Rules
240×lower-fma.f64
240×lower-fma.f32
176×lower-*.f64
176×lower-*.f32
128×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11614
21914
32514
43414
54614
66614
711014
817314
932114
1047514
1156914
1263614
1384414
1485114
1585214
085210
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(exp.f64 x)
x
#s(literal 1 binary64)

localize27.0ms (0.3%)

Memory
-32.2MiB live, 56.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy60.1%
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Samples
13.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (44.7% of total)
ival-exp: 2.0ms (29.8% of total)
ival-expm1: 2.0ms (29.8% 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
5.9MiB live, 5.9MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)>
#<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>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<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
1.0ms
x
@-inf
(/ (- (exp x) 1) x)
0.0ms
x
@inf
(/ (- (exp x) 1) x)
0.0ms
x
@0
(- (exp x) 1)
0.0ms
x
@inf
(- (exp x) 1)
0.0ms
x
@-inf
(- (exp x) 1)

rewrite272.0ms (2.7%)

Memory
-7.8MiB live, 631.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 428×lower-/.f32
5 426×lower-/.f64
3 690×lower-*.f64
3 690×lower-*.f32
2 262×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
13512
222012
3229912
088938
Stop Event
iter limit
node limit
iter limit
Counts
3 → 496
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(exp.f64 x)
Outputs
(+.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 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.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) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.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 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #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 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 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 (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 #s(literal 1 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 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 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 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 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 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 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 (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 (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 (/.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 (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 (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 (/.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)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
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(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (fma.f64 x (exp.f64 x) x)))
(*.f64 (fma.f64 x (exp.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x) (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (/.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) (/.f64 x (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (expm1.f64 (+.f64 x x))) (expm1.f64 x))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) (neg.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))

simplify421.0ms (4.2%)

Memory
38.6MiB live, 353.7MiB allocated
Algorithm
egg-herbie
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
1 616×lower-*.f64
1 616×lower-*.f32
1 056×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026184
181184
2173184
3391184
4623184
5769184
6797184
7845184
8899184
91593184
104099184
115148184
125374184
135508184
145623184
155629184
165904184
175904184
186088184
196161184
206161184
216369184
226450184
236450184
06450135
Stop Event
iter limit
saturated
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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
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 x (*.f64 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 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) 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
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) 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)

eval60.0ms (0.6%)

Memory
4.3MiB live, 157.8MiB allocated
Compiler

Compiled 11 317 to 1 472 computations (87% saved)

prune68.0ms (0.7%)

Memory
-8.0MiB live, 155.6MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5247531
Fresh000
Picked101
Done000
Total5257532
Accuracy
100.0%
Counts
532 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.0%
(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))
62.3%
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
45.7%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
68.5%
(/.f64 (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))) x) x)
3.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
100.0%
(/.f64 (expm1.f64 x) x)
45.1%
#s(literal 1 binary64)
Compiler

Compiled 104 to 72 computations (30.8% saved)

simplify59.0ms (0.6%)

Memory
11.0MiB live, 49.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff704
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
cost-diff0
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(expm1.f64 x)
cost-diff0
(/.f64 (expm1.f64 x) x)
Rules
808×lower-fma.f32
802×lower-fma.f64
408×lower-*.f64
408×lower-*.f32
208×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
02334
14134
25534
36634
47534
58734
610734
715134
821234
944734
1086034
11102734
12117634
13141634
14144734
15146834
16147034
0147034
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
#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))
x
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
x
Outputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
#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))
x
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
x

localize90.0ms (0.9%)

Memory
-18.7MiB live, 100.7MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy99.7%
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy100.0%
(expm1.f64 x)
accuracy100.0%
(/.f64 (expm1.f64 x) x)
Samples
73.0ms256×0valid
Compiler

Compiled 42 to 16 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-add: 27.0ms (59.6% of total)
ival-mult: 7.0ms (15.5% of total)
const: 5.0ms (11% of total)
ival-div: 3.0ms (6.6% of total)
ival-expm1: 2.0ms (4.4% of total)
ival-sub: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
7 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (expm1.f64 x) x)>
#<alt (expm1.f64 x)>
#<alt (fma.f64 x #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 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<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>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<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 (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
Calls

18 calls:

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

rewrite313.0ms (3.2%)

Memory
8.7MiB live, 483.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 980×lower-fma.f32
6 974×lower-fma.f64
4 256×lower-*.f64
4 256×lower-*.f32
3 356×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
02323
19923
267423
3711123
0803623
Stop Event
iter limit
node limit
iter limit
Counts
7 → 489
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
(fma.f64 x #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))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (expm1.f64 x) x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(-.f64 (/.f64 (*.f64 x (exp.f64 x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (/.f64 (expm1.f64 x) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (exp.f64 x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x))) (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))) x))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) (neg.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 (fma.f64 x (exp.f64 x) (neg.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 x (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (fma.f64 x (exp.f64 x) x)))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (*.f64 (fma.f64 x (exp.f64 x) x) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x))))
(/.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (*.f64 (fma.f64 x (exp.f64 x) x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 x (*.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 x (exp.f64 x)) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (exp.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (neg.f64 x)) (neg.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 x)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))) (neg.f64 x)))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) x))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 x (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 x) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (*.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x (exp.f64 x) (neg.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) (neg.f64 x))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (fma.f64 x (exp.f64 x) (neg.f64 x)) x) x)
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/36 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) #s(literal 1/16 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (*.f64 x #s(literal 1/12 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (*.f64 x #s(literal 1/12 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))))
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify320.0ms (3.2%)

Memory
21.6MiB live, 529.3MiB allocated
Algorithm
egg-herbie
Rules
12 162×lower-fma.f64
12 162×lower-fma.f32
3 956×lower-*.f64
3 956×lower-*.f32
2 820×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038346
1122342
2255342
3559342
41382342
54239342
65866342
77576342
08082265
Stop Event
iter limit
node limit
Counts
72 → 71
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
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
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
0
0
0
0
0
0
0
0
0
0
0
0
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) 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 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) 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
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 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 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 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) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 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 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 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) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#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 (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 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 (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)

eval68.0ms (0.7%)

Memory
-31.1MiB live, 109.8MiB allocated
Compiler

Compiled 11 767 to 1 323 computations (88.8% saved)

prune65.0ms (0.7%)

Memory
-26.0MiB live, 135.0MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New5528560
Fresh022
Picked145
Done000
Total55314567
Accuracy
100.0%
Counts
567 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.0%
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
62.3%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
66.0%
(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))
62.3%
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
45.7%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
45.4%
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.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)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
68.5%
(/.f64 (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))) x) x)
44.5%
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
100.0%
(/.f64 (expm1.f64 x) x)
20.3%
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
20.4%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
3.8%
(*.f64 #s(literal 1/2 binary64) x)
45.1%
#s(literal 1 binary64)
3.4%
#s(literal 0 binary64)
Compiler

Compiled 332 to 189 computations (43.1% saved)

simplify314.0ms (3.2%)

Memory
13.3MiB live, 489.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
cost-diff0
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
cost-diff128
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
cost-diff0
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff320
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/6 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
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(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))) x)
cost-diff1024
(/.f64 (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))) x) x)
Rules
12 920×lower-fma.f32
12 900×lower-fma.f64
4 160×lower-*.f32
4 146×lower-*.f64
2 532×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030182
059172
1121172
2269172
3814171
42257169
55494169
08332166
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (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))) 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))) x)
x
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #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(literal 0 binary64)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
x
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
#s(literal 1/8 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
Outputs
(/.f64 (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))) x) 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 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
x
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #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(literal 0 binary64)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
x
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
#s(literal 1/8 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))

localize109.0ms (1.1%)

Memory
5.2MiB live, 161.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy71.0%
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
accuracy59.8%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
accuracy100.0%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
accuracy99.5%
(*.f64 x #s(literal 1/6 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 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
accuracy99.7%
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy96.6%
(/.f64 (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))) x) x)
Samples
63.0ms255×0valid
1.0ms2valid
Compiler

Compiled 184 to 40 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 23.0ms (47.7% of total)
ival-add: 11.0ms (22.8% of total)
const: 7.0ms (14.5% of total)
ival-div: 5.0ms (10.4% of total)
exact: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (/.f64 (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))) x) x)>
#<alt (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))) x)>
#<alt (*.f64 x (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 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 x (*.f64 x #s(literal 1/6 binary64)))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))>
#<alt (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))>
#<alt (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))>
#<alt (*.f64 x (*.f64 x #s(literal 1/4 binary64)))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<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 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<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 (* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<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)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (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)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/32 (pow x 3)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (- (* -1/256 (pow x 3)) 1/32)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/2048 (pow x 3)) 1/256)) 1/32)) 1/4))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)>
#<alt (/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (/ 128 (pow x 6)))) x)>
#<alt (/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (+ (* 1024 (/ 1 (pow x 9))) (/ 128 (pow x 6))))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) (pow x 3))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 1024 (pow x 6)))) (pow x 3))) 2) x))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<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 (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/4 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)) 1)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 4 (/ 1 x))) x)>
#<alt (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)>
#<alt (/ (+ 2 (+ (* 4 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 8 (pow x 2))))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 4 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) x))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (neg (/ 1 (+ (* x 1/2) -1))))
1.0ms
x
@inf
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (neg (/ 1 (+ (* x 1/2) -1))))
1.0ms
x
@-inf
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (neg (/ 1 (+ (* x 1/2) -1))))
0.0ms
x
@inf
(/ (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) x)
0.0ms
x
@0
(/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1))

rewrite482.0ms (4.9%)

Memory
13.1MiB live, 519.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 912×lower-*.f32
4 898×lower-*.f64
4 242×lower-/.f32
4 236×lower-/.f64
4 170×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029136
058128
1253128
22155128
08441126
Stop Event
iter limit
node limit
iter limit
Counts
16 → 766
Calls
Call 1
Inputs
(/.f64 (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))) 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))) x)
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(*.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
Outputs
(exp.f64 (*.f64 (log.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 x x) x))) #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 x x) x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.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) 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) x) x)
(/.f64 #s(literal 1 binary64) (/.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) x)))
(/.f64 #s(literal 1 binary64) (/.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 x x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (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 x x) x))))
(/.f64 (neg.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) x)) (neg.f64 x))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 x (fma.f64 x (-.f64 x (*.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))))) (*.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 x (*.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 (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) (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 (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 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (*.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))))) (*.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 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) x))
(/.f64 (*.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 x 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))) #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) (neg.f64 x)) x))
(/.f64 (neg.f64 (neg.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) x))) (neg.f64 (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 x x) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 x (*.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))))) (*.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 x (*.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 (*.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) 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))) (/.f64 #s(literal 1 binary64) 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)))
(pow.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 x x) x)) #s(literal -1 binary64))
(pow.f64 (/.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 x x) x)) #s(literal 1 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) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #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) x) x))
(*.f64 (neg.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) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (pow.f64 (/.f64 #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)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.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))))) (*.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 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(*.f64 (pow.f64 (/.f64 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) 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)))) #s(literal -1 binary64)) (/.f64 #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 (*.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)))))
(+.f64 (*.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)))) x)
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.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 (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) (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 (*.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 (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)
(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 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)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.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))))) (*.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 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 #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) (neg.f64 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) 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)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 x (-.f64 x (*.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))))) (*.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 x (*.f64 x (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 x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
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(pow.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(*.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 1/4 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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 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))))
(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 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))

simplify528.0ms (5.3%)

Memory
10.3MiB live, 389.0MiB allocated
Algorithm
egg-herbie
Rules
13 258×lower-fma.f64
13 258×lower-fma.f32
4 030×lower-*.f64
4 030×lower-*.f32
3 166×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061314
15801305
215201270
344361260
477101260
082031148
Stop Event
iter limit
node limit
Counts
192 → 191
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 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))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
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)))))))
(* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 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)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (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)
(pow x 2)
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1/32 (pow x 3)) 1/4))
(* (pow x 2) (- (* (pow x 3) (- (* -1/256 (pow x 3)) 1/32)) 1/4))
(* (pow x 2) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/2048 (pow x 3)) 1/256)) 1/32)) 1/4))
(/ 2 x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (/ 128 (pow x 6)))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (+ (* 1024 (/ 1 (pow x 9))) (/ 128 (pow x 6))))) x)
(/ 2 x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(* -1 (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) (pow x 3))) 2) x))
(* -1 (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 1024 (pow x 6)))) (pow x 3))) 2) x))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/4 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)) 1)
(/ 2 x)
(/ (+ 2 (* 4 (/ 1 x))) x)
(/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)
(/ (+ 2 (+ (* 4 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 8 (pow x 2))))) x)
(/ 2 x)
(/ (+ 2 (* 4 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) x))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
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(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -1/4 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) x)
(/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) #s(literal 2 binary64)) x)
(/ (+ 2 (+ (* 4 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 8 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 4 binary64) x))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) x)) x)) x)

eval389.0ms (3.9%)

Memory
21.2MiB live, 172.2MiB allocated
Compiler

Compiled 56 602 to 2 808 computations (95% saved)

prune200.0ms (2%)

Memory
-3.5MiB live, 244.3MiB allocated
Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New95718975
Fresh145
Picked235
Done044
Total96029989
Accuracy
100.0%
Counts
989 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.1%
(fma.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
48.4%
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
2.8%
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
45.0%
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
44.3%
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
62.3%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
66.0%
(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))
62.3%
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
45.7%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
68.5%
(/.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) x) x)
51.5%
(/.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (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)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) x)
68.5%
(/.f64 (fma.f64 x (*.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))) x) x)
68.5%
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.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)))) #s(literal 1/2 binary64))) x) x)
67.6%
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x) x)
44.5%
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
25.1%
(/.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 x 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))) (*.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))))
26.2%
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
100.0%
(/.f64 (expm1.f64 x) x)
68.5%
(/.f64 #s(literal 1 binary64) (/.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) x)))
68.5%
(*.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) x) (/.f64 #s(literal 1 binary64) x))
20.4%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
23.9%
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
20.3%
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
24.1%
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
23.7%
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
20.4%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
3.8%
(*.f64 #s(literal 1/2 binary64) x)
45.1%
#s(literal 1 binary64)
3.4%
#s(literal 0 binary64)
Compiler

Compiled 968 to 532 computations (45% saved)

simplify840.0ms (8.5%)

Memory
-42.7MiB live, 902.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/4 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
cost-diff0
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
cost-diff640
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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
(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)
cost-diff1344
(*.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) x) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
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
(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)
cost-diff320
(/.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) x))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.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) x)))
Rules
25 888×lower-fma.f32
25 868×lower-fma.f64
5 382×lower-*.f32
5 368×lower-*.f64
4 532×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029248
059240
1130236
2304234
3943228
42828227
54191227
65665227
75754227
85814227
95873227
107484227
117555227
08284222
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.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) x)))
#s(literal 1 binary64)
(/.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) 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)
(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)
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.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 (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)
(*.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) x) (/.f64 #s(literal 1 binary64) 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)
(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)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
x
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
#s(literal 1/8 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.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) 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 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 #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)))
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)
(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))) x)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #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)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.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 (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)
(*.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) x) (/.f64 #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 (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)
(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))) 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)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
x
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64))
#s(literal 1/8 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))

localize149.0ms (1.5%)

Memory
-13.0MiB live, 274.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy99.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy59.8%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #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))
accuracy99.9%
(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) x)
accuracy99.7%
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy96.6%
(*.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) x) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 x (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))
accuracy99.7%
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
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) x)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.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) x)))
accuracy99.7%
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy96.3%
(/.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) x))
Samples
82.0ms255×0valid
1.0ms2valid
Compiler

Compiled 250 to 40 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 27.0ms (42.7% of total)
ival-div: 17.0ms (26.9% of total)
ival-add: 11.0ms (17.4% of total)
const: 7.0ms (11.1% of total)
exact: 1.0ms (1.6% 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
15.9MiB live, 15.9MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.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) x)))>
#<alt (/.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) x))>
#<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) x)>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (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 1/24 binary64) #s(literal 1/6 binary64))>
#<alt (*.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) x) (/.f64 #s(literal 1 binary64) x))>
#<alt (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))>
#<alt (*.f64 x (*.f64 x #s(literal 1/4 binary64)))>
#<alt (*.f64 x #s(literal 1/4 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<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 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))>
#<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 (* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<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)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<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 (* 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>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<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 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/16 (pow x 3)))))>
#<alt (+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/32 x) 1/16)))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (/ 1 x)) x)) 1/8)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/8)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/32 (pow x 3)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (- (* -1/256 (pow x 3)) 1/32)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/2048 (pow x 3)) 1/256)) 1/32)) 1/4))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)>
#<alt (/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (/ 128 (pow x 6)))) x)>
#<alt (/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (+ (* 1024 (/ 1 (pow x 9))) (/ 128 (pow x 6))))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) (pow x 3))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 1024 (pow x 6)))) (pow x 3))) 2) x))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/8)))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ x (+ (* (+ (* x (+ (* x 1/24) 1/6)) 1/2) (* x x)) x))
0.0ms
x
@-inf
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1))
0.0ms
x
@-inf
(* 1/2 x)
0.0ms
x
@-inf
(* x 1/4)
0.0ms
x
@inf
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1))

rewrite396.0ms (4%)

Memory
-11.2MiB live, 662.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 956×lower-*.f32
5 942×lower-*.f64
3 800×lower-/.f32
3 792×lower-/.f64
2 564×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029150
059140
1275140
22262140
08638140
Stop Event
iter limit
node limit
iter limit
Counts
14 → 440
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.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) x)))
(/.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) 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)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x #s(literal 1/4 binary64))
(*.f64 x (*.f64 x x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.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))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.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))))) #s(literal 1 binary64))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.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)))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (*.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)))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 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))) x))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 (*.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)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.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)))) #s(literal 1 binary64))
(fma.f64 (*.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)))) (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 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))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 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))) x)))
(/.f64 (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))) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (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))) x)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))

simplify316.0ms (3.2%)

Memory
26.0MiB live, 618.3MiB allocated
Algorithm
egg-herbie
Rules
8 816×lower-fma.f64
8 816×lower-fma.f32
4 692×lower-*.f64
4 692×lower-*.f32
3 166×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02481386
17201379
220691329
368921316
083901223
Stop Event
iter limit
node limit
Counts
168 → 167
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 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))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
(/ 24 (pow x 3))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
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)))))))
(* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 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)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 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))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/16 (pow x 3)))))
(+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/32 x) 1/16)))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (/ 1 x)) x)) 1/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/8)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1/32 (pow x 3)) 1/4))
(* (pow x 2) (- (* (pow x 3) (- (* -1/256 (pow x 3)) 1/32)) 1/4))
(* (pow x 2) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/2048 (pow x 3)) 1/256)) 1/32)) 1/4))
(/ 2 x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (/ 128 (pow x 6)))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (+ (* 1024 (/ 1 (pow x 9))) (/ 128 (pow x 6))))) x)
(/ 2 x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(* -1 (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) (pow x 3))) 2) x))
(* -1 (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 1024 (pow x 6)))) (pow x 3))) 2) x))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))))
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/8)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 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 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x)))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x)) (*.f64 x (*.f64 x x)))
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 192 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x))) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) (+.f64 (/.f64 #s(literal 192 binary64) (*.f64 x x)) #s(literal -96 binary64))) x)) (*.f64 x (*.f64 x x)))
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) 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 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
1/2
#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 (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 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 #s(literal 1/24 binary64) (*.f64 x x))
(* (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)))))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 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 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)))))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
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(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 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 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 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 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(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))
(* 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
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 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 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/16 (pow x 3)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/32 x) 1/16)))))
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal -1/32 binary64) #s(literal -1/16 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/8 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x)
(* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/8 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (/ 1 x)) x)) 1/8)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/8)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* -1/32 (pow x 3)) 1/4))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))))
(* (pow x 2) (- (* (pow x 3) (- (* -1/256 (pow x 3)) 1/32)) 1/4))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/256 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))
(* (pow x 2) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/2048 (pow x 3)) 1/256)) 1/32)) 1/4))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2048 binary64))) #s(literal -1/256 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x)))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (/ 128 (pow x 6)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 128 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (+ (* 1024 (/ 1 (pow x 9))) (/ 128 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1024 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 128 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x x)))) x)
(* -1 (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) (pow x 3))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 128 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) x)
(* -1 (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 1024 (pow x 6)))) (pow x 3))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -128 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1024 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))) x)
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/8 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))))
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(* 1/8 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/8)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x))) x)))

eval110.0ms (1.1%)

Memory
3.1MiB live, 310.6MiB allocated
Compiler

Compiled 28 675 to 1 601 computations (94.4% saved)

prune164.0ms (1.7%)

Memory
-32.0MiB live, 231.9MiB allocated
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New8017808
Fresh10717
Picked415
Done077
Total81522837
Accuracy
100.0%
Counts
837 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
45.0%
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
23.9%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x)
62.3%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
30.5%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
66.0%
(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))
62.3%
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
45.7%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
44.5%
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
25.1%
(/.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 x 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))) (*.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))))
9.4%
(/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
26.2%
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
100.0%
(/.f64 (expm1.f64 x) x)
48.8%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
20.4%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
20.3%
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
23.7%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
24.1%
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
20.4%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
3.8%
(*.f64 #s(literal 1/2 binary64) x)
45.1%
#s(literal 1 binary64)
3.4%
#s(literal 0 binary64)
Compiler

Compiled 961 to 306 computations (68.2% saved)

regimes25.0ms (0.2%)

Memory
22.0MiB live, 59.9MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 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)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x) x)
(/.f64 (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))) 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) 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) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.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) x)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)) x) (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 (*.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))) x) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.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)))) #s(literal 1/2 binary64))) x) x)
(/.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (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)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.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)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x 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))) (*.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 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
(/.f64 (expm1.f64 x) x)
Calls

2 calls:

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

Compiled 9 to 6 computations (33.3% saved)

regimes26.0ms (0.3%)

Memory
-20.8MiB live, 57.3MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 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)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x) x)
(/.f64 (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))) 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) 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) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.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) x)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)) x) (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 (*.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))) x) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.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)))) #s(literal 1/2 binary64))) x) x)
(/.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (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)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.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)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x 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))) (*.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 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x 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))) (*.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))))
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
Calls

2 calls:

13.0ms
x
10.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
75.3%3x
73.1%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory
6.8MiB live, 43.9MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 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)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x) x)
(/.f64 (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))) 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) 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) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.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) x)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)) x) (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 (*.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))) x) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.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)))) #s(literal 1/2 binary64))) x) x)
(/.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (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)) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.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)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 x #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) x) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

11.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
10.0ms
x
Results
AccuracySegmentsBranch
73.1%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
73.1%2x
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 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)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x) x)
(/.f64 (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))) 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) x) x)
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (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))) x) x)
Calls

1 calls:

6.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
73.1%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory
0.9MiB live, 38.1MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 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)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x) x)
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
Calls

2 calls:

7.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
6.0ms
x
Results
AccuracySegmentsBranch
72.9%2x
72.9%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
0.6MiB live, 40.0MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 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)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 x #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))
Calls

2 calls:

6.0ms
x
6.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
70.6%2x
70.6%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-6.2MiB live, 37.2MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 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)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x)
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
Calls

2 calls:

7.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
5.0ms
x
Results
AccuracySegmentsBranch
70.4%2x
70.4%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-9.2MiB live, 29.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 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)))
Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
Calls

2 calls:

6.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
66.4%2x
66.4%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-12.4MiB live, 27.0MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
66.4%2x
66.4%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
66.4%2x
66.4%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-21.1MiB live, 17.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
62.3%1x
62.3%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
Outputs
#s(literal 1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
62.0%2x
62.0%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
Outputs
#s(literal 1 binary64)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
62.0%2x
62.0%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
-26.1MiB live, 15.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
Outputs
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
Calls

2 calls:

3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms
x
Results
AccuracySegmentsBranch
45.7%1x
45.7%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
45.1%1x
45.1%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

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

Compiled 9 to 6 computations (33.3% saved)

bsearch47.0ms (0.5%)

Memory
-9.5MiB live, 29.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
43.0ms
4.669643922270845e+57
9.379354324359536e+70
2.0ms
7.387882554244552e-171
1.1600209552848316e-158
Samples
6.0ms192×0valid
Compiler

Compiled 684 to 267 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (37.2% of total)
ival-expm1: 1.0ms (37.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0029274917054057073
0.9988744649071385
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9988744649071385
0.9998401386176057
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0001918552330586
+inf
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0029274917054057073
0.9988744649071385
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0001918552330586
+inf
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0001918552330586
+inf
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0001918552330586
+inf
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0001918552330586
+inf
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0001918552330586
+inf
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0001918552330586
+inf
Compiler

Compiled 10 to 9 computations (10% saved)

simplify17.0ms (0.2%)

Memory
-20.9MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Rules
40×*-commutative_binary64
10×neg-mul-1_binary64
unsub-neg_binary64
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071319
195319
2100319
3106319
4113319
5122319
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 84000000000000004312005521189976871174661997622097264435527680 binary64)) (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x 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))) (*.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)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #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) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 8998192055486251/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (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))) x) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #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)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 5186894461101241/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 84000000000000004312005521189976871174661997622097264435527680 binary64)) (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x 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))) (*.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)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #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) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #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) x) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 8998192055486251/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (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))) x) x))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 8998192055486251/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (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))) x) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #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)))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #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)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)

soundness3.0s (30.6%)

Memory
4.7MiB live, 1 406.5MiB allocated
Rules
13 258×lower-fma.f64
13 258×lower-fma.f32
12 162×lower-fma.f64
12 162×lower-fma.f32
8 816×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026184
181184
2173184
3391184
4623184
5769184
6797184
7845184
8899184
91593184
104099184
115148184
125374184
135508184
145623184
155629184
165904184
175904184
186088184
196161184
206161184
216369184
226450184
236450184
06450135
0512
0812
13512
222012
3229912
088938
038346
1122342
2255342
3559342
41382342
54239342
65866342
77576342
08082265
02481386
17201379
220691329
368921316
083901223
029136
058128
1253128
22155128
08441126
02061314
15801305
215201270
344361260
477101260
082031148
01125
02323
19923
267423
3711123
0803623
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
saturated
Compiler

Compiled 1 029 to 489 computations (52.5% saved)

preprocess185.0ms (1.9%)

Memory
1.4MiB live, 154.6MiB allocated
Compiler

Compiled 700 to 178 computations (74.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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