expax (section 3.5)

Time bar (total: 7.4s)

analyze19.0ms (0.3%)

Memory
-4.9MiB live, 37.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%0.1%0%6.2%0%6
75.9%68.7%21.9%0.1%0%9.4%0%7
80%68.7%17.2%0.1%0%14%0%8
86%71.8%11.7%0.1%0%16.4%0%9
88.9%71.8%9%0.1%0%19.1%0%10
92.4%73.4%6%0.1%0%20.5%0%11
94.1%73.4%4.6%0.1%0%22%0%12
Compiler

Compiled 12 to 7 computations (41.7% saved)

sample561.0ms (7.6%)

Memory
36.1MiB live, 897.9MiB allocated
Samples
310.0ms8 256×0valid
12.0ms313×0invalid
Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-mult: 73.0ms (46.6% of total)
ival-expm1: 53.0ms (33.8% of total)
ival->: 20.0ms (12.8% of total)
exact: 7.0ms (4.5% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

preprocess26.0ms (0.3%)

Memory
-7.7MiB live, 30.9MiB allocated
Algorithm
egg-herbie
Rules
42×sub-neg
40×exp-sum
24×exp-prod
24×+-commutative
18×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
14236
27334
310834
414134
516534
620434
722634
824034
925134
1025234
066
096
1176
2206
0204
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
Symmetry

(sort a x)

explain72.0ms (1%)

Memory
4.4MiB live, 163.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-1(-6.426970514768443e-149 1.9475222603111186e+146)(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-a
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 a x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))cancellation1301
Confusion
Predicted +Predicted -
+1301
-0125
Precision
1.0
Recall
0.9923664122137404
Confusion?
Predicted +Predicted MaybePredicted -
+13010
-01124
Precision?
0.9924242424242424
Recall?
1.0
Freqs
test
numberfreq
0126
1130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 4.0ms (31.6% of total)
ival-mult: 4.0ms (31.6% of total)
ival-expm1: 4.0ms (31.6% 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 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a x)
cost-diff0
(exp.f64 (*.f64 a x))
cost-diff192
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Rules
lower-exp.f32
exp-prod
lower-pow.f64
lower-+.f64
lower-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11716
22016
02014
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)

localize21.0ms (0.3%)

Memory
-34.4MiB live, 46.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a x)
accuracy100.0%
(exp.f64 (*.f64 a x))
accuracy53.3%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Samples
14.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-expm1: 4.0ms (51.4% of total)
ival-exp: 2.0ms (25.7% of total)
ival-mult: 2.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (exp.f64 (*.f64 a x))>
#<alt (*.f64 a x)>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
Calls

18 calls:

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

rewrite159.0ms (2.2%)

Memory
14.0MiB live, 171.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
806×lower-fma.f64
806×lower-fma.f32
650×lower-*.f32
648×lower-*.f64
594×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
215213
0134611
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
3 → 111
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
Outputs
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(fma.f64 (exp.f64 (*.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (*.f64 a (+.f64 x x))) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (expm1.f64 (*.f64 a (+.f64 x x)))) (expm1.f64 (*.f64 a x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a (+.f64 x x))) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))))
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) (+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 (*.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(*.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a (+.f64 x x))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a x)))
(*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (expm1.f64 (*.f64 a (+.f64 x x)))) (expm1.f64 (*.f64 a x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 a a)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (exp.f64 (*.f64 a x)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(*.f64 a x)
(*.f64 a (log.f64 (exp.f64 x)))
(*.f64 x a)

simplify324.0ms (4.4%)

Memory
-17.8MiB live, 345.5MiB allocated
Algorithm
egg-herbie
Rules
8 560×lower-fma.f64
8 560×lower-fma.f32
3 454×associate-*r*
2 992×lower-*.f64
2 992×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063432
1195432
2526424
31050424
41650424
51848424
61875424
71895424
81909424
91912424
101912424
112607420
123082420
134049420
144050420
154050420
164178420
174178420
186095416
196319416
206361416
216375416
226375416
236551416
246889416
256889416
267463416
07463360
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)

eval20.0ms (0.3%)

Memory
5.6MiB live, 44.4MiB allocated
Compiler

Compiled 3 186 to 324 computations (89.8% saved)

prune22.0ms (0.3%)

Memory
8.1MiB live, 47.7MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New17310183
Fresh000
Picked101
Done000
Total17410184
Accuracy
100.0%
Counts
184 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
23.1%
(-.f64 (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
23.3%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
21.7%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
66.4%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
65.7%
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
65.6%
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
69.4%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 268 to 156 computations (41.8% saved)

simplify393.0ms (5.3%)

Memory
7.7MiB live, 524.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
cost-diff0
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 a (*.f64 x x))
cost-diff0
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
cost-diff0
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
cost-diff0
(fma.f64 a x #s(literal 1 binary64))
cost-diff256
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 a x)
cost-diff0
(expm1.f64 (*.f64 a x))
Rules
15 646×lower-fma.f32
15 634×lower-fma.f64
4 484×lower-*.f32
4 468×lower-*.f64
3 754×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023164
047161
1111161
2333161
31478161
43702161
56130161
08377161
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
a
x
#s(literal 1 binary64)
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
a
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 a (*.f64 x x))
(*.f64 x x)
x
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
a
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
x
(*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 a x)
(fma.f64 (*.f64 a 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)
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a x)
(fma.f64 a x #s(literal 1 binary64))
a
x
#s(literal 1 binary64)
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x))
a
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x)
(*.f64 a (*.f64 x x))
(*.f64 x (*.f64 a x))
(*.f64 x x)
x
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(*.f64 a (fma.f64 (*.f64 x (*.f64 a x)) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x))
a
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 a x)) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x)
(*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
x
(*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 a x)
(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 a (*.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)

localize95.0ms (1.3%)

Memory
10.0MiB live, 124.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
accuracy99.2%
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
accuracy99.2%
(*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy97.5%
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
accuracy99.9%
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy99.8%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.2%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
accuracy95.6%
(*.f64 a (*.f64 x x))
accuracy100.0%
(fma.f64 a x #s(literal 1 binary64))
accuracy99.4%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 a x)
accuracy100.0%
(expm1.f64 (*.f64 a x))
Samples
48.0ms171×1exit
18.0ms85×0valid
Compiler

Compiled 190 to 30 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 19.0ms (42.5% of total)
adjust: 9.0ms (20.1% of total)
ival-add: 7.0ms (15.7% of total)
const: 6.0ms (13.4% of total)
ival-expm1: 2.0ms (4.5% of total)
ival-sub: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-22.3MiB live, 53.2MiB allocated
Counts
15 → 312
Calls
Call 1
Inputs
#<alt (expm1.f64 (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 a x #s(literal 1 binary64))>
#<alt (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))>
#<alt (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)>
#<alt (*.f64 a (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))>
#<alt (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)>
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (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 (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))>
#<alt (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))>
#<alt (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 (* a x))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<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 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
Calls

78 calls:

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

rewrite350.0ms (4.7%)

Memory
35.5MiB live, 464.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 574×lower-fma.f32
6 562×lower-fma.f64
4 502×lower-*.f32
4 486×lower-*.f64
3 730×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023129
047126
1205126
21645126
08359126
Stop Event
iter limit
node limit
iter limit
Counts
15 → 602
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 a (*.f64 x x))
(*.f64 x x)
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
Outputs
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))))
(+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(-.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))))
(fma.f64 (exp.f64 (*.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (fma.f64 a x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (fma.f64 a x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
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(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 a x) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.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 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) #s(literal 1/12 binary64)))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))

simplify469.0ms (6.4%)

Memory
-1.8MiB live, 667.4MiB allocated
Algorithm
egg-herbie
Rules
19 796×lower-fma.f64
19 796×lower-fma.f32
6 302×lower-*.f64
6 302×lower-*.f32
3 952×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03333247
111473188
238253104
081782860
Stop Event
iter limit
node limit
Counts
312 → 308
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (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)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* 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)
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/6 (* a x))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* 1/6 (* a x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 x (fma.f64 x (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))))))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (/ 1 a)))
(fma.f64 a x #s(literal 1 binary64))
(* a (+ x (/ 1 a)))
(fma.f64 a x #s(literal 1 binary64))
(* a (+ x (/ 1 a)))
(fma.f64 a x #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(fma.f64 a x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x))))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a))))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x))))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x))))
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(* 1/6 (* (pow a 2) (pow x 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a))))
(* 1/6 (* (pow a 2) (pow x 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(*.f64 a (*.f64 a (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a))) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(*.f64 a (*.f64 a (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a))) a))))
x
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(* 1/6 (* (pow a 2) (pow x 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/6 (* (pow a 2) (pow x 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
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(*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a (pow.f64 x #s(literal 4 binary64)))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) a) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 a))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 (* a x))))
(*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(fma.f64 a (*.f64 (*.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(fma.f64 a (*.f64 (*.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(* 1/24 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 a a) #s(literal -1/24 binary64)) (/.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 a a) #s(literal -1/24 binary64)) (/.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(fma.f64 a (*.f64 (*.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(fma.f64 a (*.f64 (*.f64 x x) (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(* 1/24 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(*.f64 a (*.f64 a (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a))))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(*.f64 a (*.f64 a (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(*.f64 (*.f64 a a) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) a)) (neg.f64 a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(*.f64 (*.f64 a a) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) a)) (neg.f64 a))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.f64 (neg.f64 a) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.f64 (neg.f64 a) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.f64 (neg.f64 a) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 (neg.f64 x) (*.f64 a #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 (neg.f64 x) (*.f64 a #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 (neg.f64 x) (*.f64 a #s(literal -1/6 binary64)) #s(literal 1/2 binary64))

eval152.0ms (2.1%)

Memory
25.0MiB live, 251.1MiB allocated
Compiler

Compiled 34 491 to 2 866 computations (91.7% saved)

prune155.0ms (2.1%)

Memory
-9.7MiB live, 275.9MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1 103251 128
Fresh325
Picked235
Done000
Total1 108301 138
Accuracy
100.0%
Counts
1 138 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 a (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) #s(literal -1 binary64))
69.9%
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
69.0%
(fma.f64 (*.f64 a (*.f64 a x)) (*.f64 x (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (*.f64 a x))
65.6%
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
26.5%
(/.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (*.f64 a x))
22.5%
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
10.1%
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))
69.0%
(/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
99.9%
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
26.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))))
68.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
23.1%
(-.f64 (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
23.3%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
22.5%
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (fma.f64 a x #s(literal -1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
23.3%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
23.3%
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
22.5%
(*.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
25.9%
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
69.0%
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
69.4%
(*.f64 x a)
69.9%
(*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x))
69.1%
(*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
66.4%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
66.1%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
65.6%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
58.7%
(*.f64 a (fma.f64 a (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))) x))
65.6%
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (fma.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
21.9%
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x))))))
100.0%
(expm1.f64 (*.f64 a x))
21.7%
#s(literal 0 binary64)
Compiler

Compiled 1 095 to 561 computations (48.8% saved)

simplify273.0ms (3.7%)

Memory
15.6MiB live, 321.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
cost-diff0
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
cost-diff320
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
cost-diff0
(*.f64 a x)
cost-diff0
(*.f64 a (*.f64 a x))
cost-diff64
(fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))
cost-diff1984
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 a (*.f64 x x))
cost-diff0
(fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x)
cost-diff0
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
cost-diff0
(+.f64 x x)
cost-diff0
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))
cost-diff448
(fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))
cost-diff7552
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
Rules
8 760×lower-fma.f32
8 748×lower-fma.f64
4 572×lower-*.f32
4 544×lower-*.f64
1 724×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035293
069272
1157265
2423265
31354256
45018254
56363254
67948254
08104249
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))
(fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))
a
(+.f64 x x)
x
(*.f64 a (+.f64 x x))
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
(exp.f64 (*.f64 a (+.f64 x x)))
#s(literal 0 binary64)
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
a
(fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x)
(*.f64 a (*.f64 x x))
(*.f64 x x)
x
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))
x
(*.f64 a (*.f64 a x))
a
(*.f64 a x)
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 a x))
#s(literal 1 binary64)
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
x
a
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
(*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
(*.f64 x x)
(*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)
(fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(*.f64 a x)
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
a
(+.f64 x x)
x
(*.f64 a (+.f64 x x))
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
(exp.f64 (*.f64 a (+.f64 x x)))
#s(literal 0 binary64)
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 a (*.f64 x x)))) x))
a
(fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x)
(fma.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 a (*.f64 x x)))) x)
(*.f64 a (*.f64 x x))
(*.f64 x x)
x
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 a x)
(fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))
(*.f64 a (*.f64 a (*.f64 x x)))
x
(*.f64 a (*.f64 a x))
a
(*.f64 a x)
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 a x))
#s(literal 1 binary64)
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a x)) a))
x
a
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
(*.f64 a (*.f64 (*.f64 a x) (*.f64 x (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
(*.f64 (*.f64 a x) (*.f64 x (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
(*.f64 x x)
(*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)
(*.f64 a (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(*.f64 a x)
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

localize123.0ms (1.7%)

Memory
-16.6MiB live, 187.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)
accuracy98.1%
(fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
accuracy94.8%
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
accuracy88.9%
(*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
accuracy99.8%
(*.f64 a (*.f64 a x))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 a x))
accuracy94.1%
(fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))
accuracy42.8%
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
accuracy99.7%
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
accuracy99.5%
(*.f64 a #s(literal 1/6 binary64))
accuracy99.2%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
accuracy89.2%
(*.f64 a (*.f64 x x))
accuracy100.0%
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
accuracy100.0%
(exp.f64 (*.f64 a x))
accuracy100.0%
(exp.f64 (*.f64 a (+.f64 x x)))
accuracy100.0%
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))
Samples
77.0ms256×0valid
Compiler

Compiled 319 to 42 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 32.0ms (54.5% of total)
ival-add: 10.0ms (17% of total)
const: 8.0ms (13.6% of total)
ival-div: 3.0ms (5.1% of total)
ival-exp: 3.0ms (5.1% of total)
ival-expm1: 2.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (0.8%)

Memory
36.8MiB live, 109.0MiB allocated
Counts
23 → 516
Calls
Call 1
Inputs
#<alt (/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))>
#<alt (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))>
#<alt (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))>
#<alt (+.f64 x x)>
#<alt (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))>
#<alt (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x)>
#<alt (*.f64 a (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))>
#<alt (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))>
#<alt (*.f64 a (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))>
#<alt (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))>
#<alt (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))>
#<alt (exp.f64 (*.f64 a (+.f64 x x)))>
#<alt (exp.f64 (*.f64 a x))>
#<alt (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))>
#<alt (*.f64 a #s(literal 1/6 binary64))>
#<alt (*.f64 x (*.f64 a #s(literal 1/6 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))>
#<alt (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (+ (* 8/3 (pow x 3)) (* a (- (* 8/3 (pow x 4)) (+ (* 1/4 (* x (+ (* 1/3 (pow x 3)) (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3)))))) (+ (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x)))))))))))) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 2 (pow a 2)) (* x (- (* 8/3 (pow a 3)) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 2 (pow a 2)) (* x (- (+ (* 8/3 (pow a 3)) (* x (- (* 8/3 (pow a 4)) (+ (* 1/4 (* a (+ (* 1/3 (pow a 3)) (+ (* 2 (pow a 3)) (+ (* 8/3 (pow a 3)) (pow a 3)))))) (+ (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 8/3 (pow a 3)) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a)))))))))))) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* a (+ (* 4 x) (* 8 (* a (pow x 2)))))>
#<alt (* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* 32/3 (* a (pow x 3)))))))>
#<alt (* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* a (+ (* 32/3 (* a (pow x 4))) (* 32/3 (pow x 3))))))))>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (* 4 (* a x))>
#<alt (* x (+ (* 4 a) (* 8 (* (pow a 2) x))))>
#<alt (* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* 32/3 (* (pow a 3) x))))))>
#<alt (* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* x (+ (* 32/3 (* (pow a 4) x)) (* 32/3 (pow a 3))))))))>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))>
#<alt (* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))>
#<alt (* a (+ x (* 1/6 (* (pow a 2) (pow x 3)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))>
#<alt (* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))>
#<alt (* x (+ a (* 1/6 (* (pow a 3) (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (/ a (pow x 2))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ a (pow x 2))) (* -1/6 (pow a 3)))))>
#<alt x>
#<alt (+ x (* 1/6 (* (pow a 2) (pow x 3))))>
#<alt (+ x (* 1/6 (* (pow a 2) (pow x 3))))>
#<alt (+ x (* 1/6 (* (pow a 2) (pow x 3))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (/ x (pow a 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))>
#<alt (* x (+ 1 (* 1/6 (* (pow a 2) (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* -1/6 (pow a 2)) (/ 1 (pow x 2)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
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#<alt 4>
#<alt (+ 4 (* a (+ (* 2 x) (* 4 x))))>
#<alt (+ 4 (* a (+ (* 2 x) (+ (* 4 x) (* a (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))))))>
#<alt (+ 4 (* a (+ (* 2 x) (+ (* 4 x) (* a (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* a (+ (* 1/3 (pow x 3)) (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))))) (pow x 2)))))))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
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#<alt (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))>
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#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
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#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
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#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt 1/2>
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#<alt (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))>
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#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))>
#<alt (* 1/2 a)>
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#<alt (* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 2)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))>
Calls

129 calls:

TimeVariablePointExpression
5.0ms
a
@inf
(* a 1/6)
4.0ms
a
@0
(* (* x x) (* (+ (* x (* a (+ (* (* a x) 1/24) 1/6))) 1/2) a))
4.0ms
x
@-inf
(* a (+ (* (* a (* x x)) (* x (* a 1/6))) x))
2.0ms
x
@inf
(/ (- (exp (+ (* a (+ x x)) (* a (+ x x)))) 1) (* (+ (exp (* a x)) 1) (+ 1 (exp (* a (+ x x))))))
2.0ms
a
@0
(/ (- (exp (+ (* a (+ x x)) (* a (+ x x)))) 1) (* (+ (exp (* a x)) 1) (+ 1 (exp (* a (+ x x))))))

rewrite44.0ms (0.6%)

Memory
-9.0MiB live, 73.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
168×lower-*.f32
140×lower-*.f64
94×lower-+.f32
88×lower-+.f64
84×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035235
069222
0287222
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
23 → 108
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))
(+.f64 x x)
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x)
(*.f64 a (*.f64 x x))
(*.f64 x x)
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))
(*.f64 a (*.f64 a x))
(*.f64 a x)
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
(*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
(exp.f64 (*.f64 a (+.f64 x x)))
(exp.f64 (*.f64 a x))
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(*.f64 a #s(literal 1/6 binary64))
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)
Outputs
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) (+.f64 a a))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (expm1.f64 (*.f64 (+.f64 x x) (+.f64 a a)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 x x) (+.f64 a a)))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 x x) (+.f64 a a))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(*.f64 (expm1.f64 (*.f64 (+.f64 x x) (+.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(+.f64 (*.f64 a (+.f64 x x)) (*.f64 a (+.f64 x x)))
(fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))
(fma.f64 (+.f64 x x) a (*.f64 a (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 a (+.f64 x x)) (*.f64 a (+.f64 x x)) (-.f64 (*.f64 (*.f64 a (+.f64 x x)) (*.f64 a (+.f64 x x))) (*.f64 (*.f64 a (+.f64 x x)) (*.f64 a (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (+.f64 x x)) (*.f64 a (+.f64 x x))) (*.f64 (*.f64 a (+.f64 x x)) (*.f64 a (+.f64 x x)))) (-.f64 (*.f64 a (+.f64 x x)) (*.f64 a (+.f64 x x))))
(*.f64 a (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))
(*.f64 (+.f64 x x) (+.f64 a a))
(*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 x x)))
(+.f64 (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a))) #s(literal -1 binary64))
(-.f64 (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a))) #s(literal 1 binary64))
(expm1.f64 (*.f64 (+.f64 x x) (+.f64 a a)))
(fma.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 a (+.f64 x x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a))) (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a))) (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) (+.f64 a a))) #s(literal 1 binary64)))
(+.f64 x x)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (*.f64 a x))
(+.f64 (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) a) (*.f64 a x))
(fma.f64 a (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) a (*.f64 a x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
(*.f64 (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x) a)
(+.f64 x (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) x)
(fma.f64 a (*.f64 (*.f64 x x) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (*.f64 a (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 a (*.f64 x x)) x) (*.f64 a #s(literal 1/6 binary64)) x)
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) x))
(*.f64 a (*.f64 x x))
(*.f64 (*.f64 a x) x)
(*.f64 (*.f64 x x) a)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(/.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 1 binary64)) (*.f64 a x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 x (*.f64 a (*.f64 a x))))
(*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 a (*.f64 a x))))
(+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))
(fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (*.f64 a (*.f64 a x)) x #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 0 binary64)) (-.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 0 binary64)))
(*.f64 x (*.f64 a (*.f64 a x)))
(*.f64 (*.f64 a x) (*.f64 a x))
(*.f64 (*.f64 a (*.f64 a x)) x)
(*.f64 a (*.f64 a x))
(*.f64 (*.f64 a x) a)
(*.f64 (*.f64 a a) x)
(*.f64 a x)
(*.f64 x a)
(+.f64 (*.f64 a x) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 a x))
(fma.f64 a x (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 a (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (*.f64 a x))
(fma.f64 x a (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) a (*.f64 a x))
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 x (*.f64 a (*.f64 a x)) (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a x) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (*.f64 a x) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(*.f64 a (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))
(*.f64 (*.f64 a (*.f64 x x)) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) a)
(*.f64 x (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 x x) (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)
(exp.f64 (*.f64 a (+.f64 x x)))
(pow.f64 (exp.f64 a) (+.f64 x x))
(exp.f64 (*.f64 a x))
(pow.f64 (exp.f64 a) x)
(+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(fma.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
(*.f64 (*.f64 a #s(literal 1/6 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a x)))
(/.f64 (/.f64 #s(literal 1 binary64) a) x)
(pow.f64 (*.f64 a x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(*.f64 a (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)

simplify426.0ms (5.8%)

Memory
-4.0MiB live, 542.7MiB allocated
Algorithm
egg-herbie
Rules
13 184×lower-fma.f64
13 184×lower-fma.f32
7 092×lower-*.f64
7 092×lower-*.f32
3 634×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04805541
116955379
257085230
082774906
Stop Event
iter limit
node limit
Counts
516 → 514
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* a (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (+ (* 8/3 (pow x 3)) (* a (- (* 8/3 (pow x 4)) (+ (* 1/4 (* x (+ (* 1/3 (pow x 3)) (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3)))))) (+ (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x)))))))))))) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
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(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(* 1/2 a)
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))
(+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/2 a)
(* a (+ 1/2 (* 1/6 (* a x))))
(* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))
(* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(*.f64 a (fma.f64 a (*.f64 x (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))))) x))
(* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (*.f64 x (fma.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))))) (*.f64 (*.f64 x x) #s(literal 7 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3 binary64)))) (*.f64 x (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64)))))) x))
(* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (+ (* 8/3 (pow x 3)) (* a (- (* 8/3 (pow x 4)) (+ (* 1/4 (* x (+ (* 1/3 (pow x 3)) (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3)))))) (+ (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x)))))))))))) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (*.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))))) (*.f64 (*.f64 x x) #s(literal 7 binary64)) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x (fma.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))))) (*.f64 (*.f64 x x) #s(literal 7 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3 binary64)))))))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x (fma.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))))) (*.f64 (*.f64 x x) #s(literal 7 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3 binary64))))) (*.f64 x (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64)))))) x))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))
(*.f64 x (fma.f64 x (*.f64 a (fma.f64 a #s(literal 2 binary64) (*.f64 (*.f64 a #s(literal 6 binary64)) #s(literal -1/4 binary64)))) a))
(* x (+ a (* x (- (+ (* 2 (pow a 2)) (* x (- (* 8/3 (pow a 3)) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) (*.f64 a (fma.f64 #s(literal 6 binary64) (*.f64 a (fma.f64 a #s(literal 2 binary64) (*.f64 (*.f64 a #s(literal 6 binary64)) #s(literal -1/4 binary64)))) (*.f64 (*.f64 a a) #s(literal 7 binary64)))) (*.f64 #s(literal 8/3 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a (fma.f64 a #s(literal 2 binary64) (*.f64 (*.f64 a #s(literal 6 binary64)) #s(literal -1/4 binary64))))) a))
(* x (+ a (* x (- (+ (* 2 (pow a 2)) (* x (- (+ (* 8/3 (pow a 3)) (* x (- (* 8/3 (pow a 4)) (+ (* 1/4 (* a (+ (* 1/3 (pow a 3)) (+ (* 2 (pow a 3)) (+ (* 8/3 (pow a 3)) (pow a 3)))))) (+ (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 8/3 (pow a 3)) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a)))))))))))) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) (*.f64 (*.f64 a #s(literal 6 binary64)) #s(literal -1/4 binary64)))) (*.f64 (*.f64 a a) #s(literal 7 binary64)) (*.f64 a (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 a (fma.f64 #s(literal 6 binary64) (*.f64 a (fma.f64 a #s(literal 2 binary64) (*.f64 (*.f64 a #s(literal 6 binary64)) #s(literal -1/4 binary64)))) (*.f64 (*.f64 a a) #s(literal 7 binary64)))) (*.f64 #s(literal 8/3 binary64) (*.f64 a (*.f64 a a)))))))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 a (fma.f64 #s(literal 6 binary64) (*.f64 a (fma.f64 a #s(literal 2 binary64) (*.f64 (*.f64 a #s(literal 6 binary64)) #s(literal -1/4 binary64)))) (*.f64 (*.f64 a a) #s(literal 7 binary64)))) (*.f64 #s(literal 8/3 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a (fma.f64 a #s(literal 2 binary64) (*.f64 (*.f64 a #s(literal 6 binary64)) #s(literal -1/4 binary64))))) a))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* a (+ (* 4 x) (* 8 (* a (pow x 2)))))
(*.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 8 binary64)) x #s(literal 4 binary64))))
(* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* 32/3 (* a (pow x 3)))))))
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) (fma.f64 (*.f64 a #s(literal 32/3 binary64)) x #s(literal 8 binary64))) (*.f64 x #s(literal 4 binary64))))
(* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* a (+ (* 32/3 (* a (pow x 4))) (* 32/3 (pow x 3))))))))
(*.f64 a (fma.f64 a (fma.f64 (*.f64 a (*.f64 a #s(literal 32/3 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 a #s(literal 32/3 binary64)) x #s(literal 8 binary64)))) (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(* 4 (* a x))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* x (+ (* 4 a) (* 8 (* (pow a 2) x))))
(*.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 8 binary64)) x #s(literal 4 binary64))))
(* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* 32/3 (* (pow a 3) x))))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 32/3 binary64)) (*.f64 (*.f64 a a) #s(literal 8 binary64))) (*.f64 a #s(literal 4 binary64))))
(* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* x (+ (* 32/3 (* (pow a 4) x)) (* 32/3 (pow a 3))))))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 32/3 binary64) (*.f64 (fma.f64 x (*.f64 (*.f64 a (*.f64 a a)) a) (*.f64 a (*.f64 a a))) x) (*.f64 (*.f64 a a) #s(literal 8 binary64))) (*.f64 a #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(- (exp (* 4 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
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(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
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(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
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(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(*.f64 a (*.f64 (*.f64 x x) (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
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(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
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(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/24 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) a))))
(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/24 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) a)))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/24 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a))) (neg.f64 a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/24 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a))) (neg.f64 a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(*.f64 a (*.f64 (*.f64 x x) (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64))) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64))) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))
(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
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(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 a a) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))))
(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64))))
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)) (/.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) x))) x)))
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(* 1/2 (* a (pow x 2)))
(*.f64 (*.f64 a (*.f64 x x)) #s(literal 1/2 binary64))
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(*.f64 (*.f64 x x) (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
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(*.f64 (*.f64 x x) (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/24 binary64)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/24 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) a)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 a)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) (fma.f64 (*.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 a (*.f64 a a))) #s(literal 4/3 binary64))) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 (*.f64 x x) (*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
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(exp (* a x))
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(exp (* a x))
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(exp (* a x))
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4
#s(literal 4 binary64)
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4
#s(literal 4 binary64)
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(/ 1 (* a x))
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(/ 1 (* a x))
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(/ 1 (* a x))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/24 (* (pow a 2) (pow x 2)))
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/24 binary64)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(*.f64 (*.f64 x x) (*.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
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(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
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(* 1/24 (* (pow a 2) (pow x 2)))
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/24 binary64)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(*.f64 (*.f64 x x) (*.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
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(* 1/24 (* (pow a 2) (pow x 2)))
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(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
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(* 1/2 a)
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(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (/.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (*.f64 a (*.f64 a (neg.f64 a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (/.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (*.f64 a (*.f64 a (neg.f64 a))))

eval98.0ms (1.3%)

Memory
0.9MiB live, 111.2MiB allocated
Compiler

Compiled 15 710 to 827 computations (94.7% saved)

prune53.0ms (0.7%)

Memory
33.4MiB live, 109.7MiB allocated
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New73610746
Fresh22022
Picked325
Done033
Total74135776
Accuracy
100.0%
Counts
776 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 a (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) #s(literal -1 binary64))
69.9%
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
69.0%
(fma.f64 (*.f64 a (*.f64 a x)) (*.f64 x (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (*.f64 a x))
65.6%
(fma.f64 x a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/2 binary64)))
65.6%
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
22.5%
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
10.1%
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))
69.0%
(/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
26.5%
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
99.9%
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
26.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))))
68.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
23.1%
(-.f64 (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
23.3%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
22.5%
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (fma.f64 a x #s(literal -1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
23.3%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
23.3%
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
22.5%
(*.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
25.9%
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
25.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 x (*.f64 a (*.f64 a x))))
69.0%
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
20.1%
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))
30.0%
(*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
18.1%
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
69.4%
(*.f64 x a)
69.9%
(*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x))
69.1%
(*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
66.4%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
66.1%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
65.6%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
58.7%
(*.f64 a (fma.f64 a (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))) x))
65.6%
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (fma.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
21.9%
(*.f64 a (*.f64 a (*.f64 (*.f64 x (*.f64 a (*.f64 x x))) #s(literal 1/6 binary64))))
100.0%
(expm1.f64 (*.f64 a x))
21.7%
#s(literal 0 binary64)
Compiler

Compiled 1 220 to 639 computations (47.6% saved)

simplify552.0ms (7.5%)

Memory
-78.3MiB live, 416.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
cost-diff0
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
cost-diff320
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
cost-diff0
(*.f64 x (*.f64 a (*.f64 a x)))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
cost-diff320
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
cost-diff0
(*.f64 a x)
cost-diff0
(*.f64 a (*.f64 a x))
cost-diff0
(*.f64 x (*.f64 a (*.f64 a x)))
cost-diff1664
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
cost-diff0
(*.f64 x a)
cost-diff0
(*.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 a (*.f64 x #s(literal 4 binary64)))
cost-diff0
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
cost-diff0
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
Rules
12 940×lower-fma.f32
12 930×lower-fma.f64
3 336×lower-*.f32
3 306×lower-*.f64
2 796×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035275
068267
1146266
2372265
31152265
42597265
57044265
08105263
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
a
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
(exp.f64 (*.f64 a (+.f64 x x)))
(*.f64 a (+.f64 x x))
(+.f64 x x)
(*.f64 x a)
x
a
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(*.f64 x (*.f64 a (*.f64 a x)))
x
(*.f64 a (*.f64 a x))
a
(*.f64 a x)
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
a
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x (*.f64 a (*.f64 a x)))
(*.f64 a (*.f64 a x))
(*.f64 a x)
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
x
a
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
(*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
(*.f64 x x)
(*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)
(fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))
(*.f64 a #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
a
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
(exp.f64 (*.f64 a (+.f64 x x)))
(*.f64 a (+.f64 x x))
(+.f64 x x)
(*.f64 x a)
(*.f64 a x)
x
a
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(*.f64 a x)
(*.f64 x (*.f64 a (*.f64 a x)))
(*.f64 a (*.f64 a (*.f64 x x)))
x
(*.f64 a (*.f64 a x))
a
(*.f64 a x)
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
a
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x (*.f64 a (*.f64 a x)))
(*.f64 a (*.f64 a (*.f64 x x)))
(*.f64 a (*.f64 a x))
(*.f64 a x)
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
(*.f64 a (fma.f64 (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (*.f64 a (*.f64 x x)) x))
x
a
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
(*.f64 (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (*.f64 a (*.f64 x x)))
(*.f64 x x)
(*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)
(*.f64 a (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(*.f64 a #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

localize175.0ms (2.4%)

Memory
28.0MiB live, 105.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)
accuracy98.9%
(fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
accuracy94.8%
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
accuracy88.9%
(*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
accuracy99.9%
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy99.8%
(*.f64 a (*.f64 a x))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy94.1%
(*.f64 x (*.f64 a (*.f64 a x)))
accuracy100.0%
(*.f64 a x)
accuracy99.8%
(*.f64 a (*.f64 a x))
accuracy94.1%
(*.f64 x (*.f64 a (*.f64 a x)))
accuracy42.1%
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
accuracy100.0%
(*.f64 x a)
accuracy100.0%
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
accuracy100.0%
(exp.f64 (*.f64 a x))
accuracy100.0%
(exp.f64 (*.f64 a (+.f64 x x)))
accuracy100.0%
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
Samples
136.0ms256×0valid
Compiler

Compiled 297 to 41 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
const: 73.0ms (62.4% of total)
ival-mult: 26.0ms (22.2% of total)
ival-add: 9.0ms (7.7% of total)
ival-div: 3.0ms (2.6% of total)
ival-exp: 3.0ms (2.6% of total)
ival-expm1: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series78.0ms (1.1%)

Memory
-23.7MiB live, 50.5MiB allocated
Counts
21 → 468
Calls
Call 1
Inputs
#<alt (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))>
#<alt (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 a (*.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 x #s(literal 4 binary64))>
#<alt (*.f64 x a)>
#<alt (/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))>
#<alt (*.f64 x (*.f64 a (*.f64 a x)))>
#<alt (*.f64 a (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))>
#<alt (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))>
#<alt (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))>
#<alt (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))>
#<alt (*.f64 x x)>
#<alt (exp.f64 (*.f64 a (+.f64 x x)))>
#<alt (exp.f64 (*.f64 a x))>
#<alt (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))>
#<alt (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))>
#<alt (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (+ (* 8/3 (pow x 3)) (* a (- (* 8/3 (pow x 4)) (+ (* 1/4 (* x (+ (* 1/3 (pow x 3)) (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3)))))) (+ (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x)))))))))))) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 2 (pow a 2)) (* x (- (* 8/3 (pow a 3)) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 2 (pow a 2)) (* x (- (+ (* 8/3 (pow a 3)) (* x (- (* 8/3 (pow a 4)) (+ (* 1/4 (* a (+ (* 1/3 (pow a 3)) (+ (* 2 (pow a 3)) (+ (* 8/3 (pow a 3)) (pow a 3)))))) (+ (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 8/3 (pow a 3)) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a)))))))))))) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))>
#<alt (* 4 (* a x))>
#<alt (* a (+ (* 4 x) (* 8 (* a (pow x 2)))))>
#<alt (* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* 32/3 (* a (pow x 3)))))))>
#<alt (* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* a (+ (* 32/3 (* a (pow x 4))) (* 32/3 (pow x 3))))))))>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (* 4 (* a x))>
#<alt (* x (+ (* 4 a) (* 8 (* (pow a 2) x))))>
#<alt (* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* 32/3 (* (pow a 3) x))))))>
#<alt (* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* x (+ (* 32/3 (* (pow a 4) x)) (* 32/3 (pow a 3))))))))>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (- (exp (* 4 (* a x))) 1)>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 (* a x))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 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 (* 1/6 x)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))>
#<alt (* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))>
#<alt (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))>
#<alt (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<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 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 4>
#<alt (+ 4 (* a (+ (* 2 x) (* 4 x))))>
#<alt (+ 4 (* a (+ (* 2 x) (+ (* 4 x) (* a (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))))))>
#<alt (+ 4 (* a (+ (* 2 x) (+ (* 4 x) (* a (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* a (+ (* 1/3 (pow x 3)) (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))))) (pow x 2)))))))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt 4>
#<alt (+ 4 (* x (+ (* 2 a) (* 4 a))))>
#<alt (+ 4 (* x (+ (* 2 a) (+ (* 4 a) (* x (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))))))>
#<alt (+ 4 (* x (+ (* 2 a) (+ (* 4 a) (* x (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (+ (* x (+ (* 1/3 (pow a 3)) (+ (* 2 (pow a 3)) (+ (* 8/3 (pow a 3)) (pow a 3))))) (pow a 2)))))))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))>
#<alt (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))>
#<alt (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (* 1/6 (* a x))))>
#<alt (* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))>
#<alt (* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 2)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 2)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))>
#<alt (* 1/2 a)>
#<alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))>
#<alt (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))>
#<alt (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))>
#<alt (* 1/24 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
Calls

117 calls:

TimeVariablePointExpression
25.0ms
a
@-inf
(* (+ (* a (* x (+ (* (* a 1/24) x) 1/6))) 1/2) a)
1.0ms
x
@inf
(/ (- (exp (* a (* x 4))) 1) (* (+ (exp (* a x)) 1) (+ 1 (exp (* a (+ x x))))))
0.0ms
x
@-inf
(/ (- (exp (* a (* x 4))) 1) (* (+ (exp (* a x)) 1) (+ 1 (exp (* a (+ x x))))))
0.0ms
a
@-inf
(/ (- (exp (* a (* x 4))) 1) (* (+ (exp (* a x)) 1) (+ 1 (exp (* a (+ x x))))))
0.0ms
a
@inf
(/ (- (exp (* a (* x 4))) 1) (* (+ (exp (* a x)) 1) (+ 1 (exp (* a (+ x x))))))

rewrite443.0ms (6%)

Memory
4.4MiB live, 483.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 504×lower-fma.f32
6 494×lower-fma.f64
3 732×lower-*.f32
3 702×lower-*.f64
2 802×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035201
068217
1268207
21903160
09486156
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 145
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
(*.f64 x a)
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(*.f64 x (*.f64 a (*.f64 a x)))
(*.f64 a (*.f64 a x))
(*.f64 a x)
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
(*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)))
(*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))
(*.f64 x x)
(exp.f64 (*.f64 a (+.f64 x x)))
(exp.f64 (*.f64 a x))
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
(+.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (expm1.f64 (+.f64 x x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(-.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (+.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(expm1.f64 (*.f64 a (+.f64 x x)))
(expm1.f64 (*.f64 a x))
(expm1.f64 (+.f64 x x))
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) a))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) (*.f64 x #s(literal 4 binary64))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) (+.f64 x x)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a #s(literal 4 binary64)))) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 x #s(literal 4 binary64)))) a))
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a (fma.f64 x #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))
(expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4 binary64)))))
(expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 x x))))
(expm1.f64 (*.f64 a (*.f64 (+.f64 x x) #s(literal 3 binary64))))
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(expm1.f64 (*.f64 a (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3/2 binary64)))
(expm1.f64 (*.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (fma.f64 (*.f64 a x) #s(literal 3 binary64) (*.f64 (*.f64 a x) #s(literal 3 binary64))))
(expm1.f64 (fma.f64 a x (*.f64 a (+.f64 x x))))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a x)))
(expm1.f64 (+.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))) (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))))
(expm1.f64 (fma.f64 a (+.f64 x x) (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))))
(expm1.f64 (+.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))) (*.f64 a (+.f64 x x))))
(expm1.f64 (fma.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64) (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (exp.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
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(/.f64 (*.f64 a (fma.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)) a) (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) a) (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 a (fma.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)) a)) (neg.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) a)) (neg.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (*.f64 a (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 a (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 a (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (*.f64 a (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 a (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) a) (*.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) a)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) a) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) a) (*.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) a) (*.f64 #s(literal 1/2 binary64) a)))))
(*.f64 a (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)

simplify398.0ms (5.4%)

Memory
20.4MiB live, 611.1MiB allocated
Algorithm
egg-herbie
Rules
12 298×lower-fma.f64
12 298×lower-fma.f32
6 774×lower-*.f64
6 774×lower-*.f32
3 440×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04755224
116845062
258714950
080564618
Stop Event
iter limit
node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* a (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (+ (* 8/3 (pow x 3)) (* a (- (* 8/3 (pow x 4)) (+ (* 1/4 (* x (+ (* 1/3 (pow x 3)) (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3)))))) (+ (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x)))))))))))) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(* a x)
(* x (+ a (* x (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))
(* x (+ a (* x (- (+ (* 2 (pow a 2)) (* x (- (* 8/3 (pow a 3)) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))
(* x (+ a (* x (- (+ (* 2 (pow a 2)) (* x (- (+ (* 8/3 (pow a 3)) (* x (- (* 8/3 (pow a 4)) (+ (* 1/4 (* a (+ (* 1/3 (pow a 3)) (+ (* 2 (pow a 3)) (+ (* 8/3 (pow a 3)) (pow a 3)))))) (+ (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 8/3 (pow a 3)) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a)))))))))))) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(* 4 (* a x))
(* a (+ (* 4 x) (* 8 (* a (pow x 2)))))
(* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* 32/3 (* a (pow x 3)))))))
(* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* a (+ (* 32/3 (* a (pow x 4))) (* 32/3 (pow x 3))))))))
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(* 4 (* a x))
(* x (+ (* 4 a) (* 8 (* (pow a 2) x))))
(* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* 32/3 (* (pow a 3) x))))))
(* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* x (+ (* 32/3 (* (pow a 4) x)) (* 32/3 (pow a 3))))))))
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(- (exp (* 4 (* a x))) 1)
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 (* a x))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/6 (* a x))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* 1/6 (* a x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 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)
(* 1/6 x)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* (pow x 2) (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(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 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
4
(+ 4 (* a (+ (* 2 x) (* 4 x))))
(+ 4 (* a (+ (* 2 x) (+ (* 4 x) (* a (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))))))
(+ 4 (* a (+ (* 2 x) (+ (* 4 x) (* a (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* a (+ (* 1/3 (pow x 3)) (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3))))) (pow x 2)))))))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
4
(+ 4 (* x (+ (* 2 a) (* 4 a))))
(+ 4 (* x (+ (* 2 a) (+ (* 4 a) (* x (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))))))
(+ 4 (* x (+ (* 2 a) (+ (* 4 a) (* x (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (+ (* x (+ (* 1/3 (pow a 3)) (+ (* 2 (pow a 3)) (+ (* 8/3 (pow a 3)) (pow a 3))))) (pow a 2)))))))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
(* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* 1/2 a)
(* a (+ 1/2 (* 1/6 (* a x))))
(* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))
(* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))
(* 1/2 a)
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))
(+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(*.f64 a (fma.f64 a (fma.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) x))
(* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (*.f64 x (fma.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) #s(literal 7 binary64)))) (*.f64 #s(literal 8/3 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) x))
(* a (+ x (* a (- (+ (* 2 (pow x 2)) (* a (- (+ (* 8/3 (pow x 3)) (* a (- (* 8/3 (pow x 4)) (+ (* 1/4 (* x (+ (* 1/3 (pow x 3)) (+ (* 2 (pow x 3)) (+ (* 8/3 (pow x 3)) (pow x 3)))))) (+ (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 8/3 (pow x 3)) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x)))))))))))) (+ (* 1/4 (* x (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow x 2))))) (* 1/4 (* (+ (* 2 x) (* 4 x)) (- (* 2 (pow x 2)) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))))) (* 1/4 (* x (+ (* 2 x) (* 4 x))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (*.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) #s(literal 7 binary64)) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x (fma.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) #s(literal 7 binary64)))) (*.f64 #s(literal 8/3 binary64) (*.f64 x (*.f64 x x)))))))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x (fma.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) #s(literal 7 binary64)))) (*.f64 #s(literal 8/3 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) x))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 4 (* a x))) 1) (* (+ 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))
(*.f64 x (fma.f64 x (fma.f64 a (*.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -6 binary64))) (*.f64 a (*.f64 a #s(literal 2 binary64)))) a))
(* x (+ a (* x (- (+ (* 2 (pow a 2)) (* x (- (* 8/3 (pow a 3)) (+ (* 1/4 (* a (+ (* 2 (pow a 2)) (+ (* 4 (pow a 2)) (pow a 2))))) (* 1/4 (* (+ (* 2 a) (* 4 a)) (- (* 2 (pow a 2)) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))))) (* 1/4 (* a (+ (* 2 a) (* 4 a))))))))
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1
#s(literal 1 binary64)
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(exp (* 2 (* a x)))
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(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
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1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
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(fma.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
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(exp (* 2 (* a x)))
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(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
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(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* a x))
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(exp (* a x))
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1
#s(literal 1 binary64)
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#s(literal 4 binary64)
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#s(literal 4 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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(*.f64 (*.f64 x x) (fma.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/24 binary64)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(*.f64 (*.f64 x x) (*.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) (/.f64 (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) (/.f64 (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (* 1/6 (* a x))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* 1/24 (* (pow a 3) (pow x 2)))
(*.f64 a (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/24 binary64))))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a)))))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
(* 1/24 (* (pow a 3) (pow x 2)))
(*.f64 a (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/24 binary64))))
(* -1 (* (pow a 3) (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (/.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (/.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* 1/24 (* (pow a 3) (pow x 2)))
(*.f64 a (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(*.f64 x (*.f64 x (fma.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(*.f64 x (*.f64 x (fma.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))))
(* 1/24 (* (pow a 3) (pow x 2)))
(*.f64 a (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/24 binary64))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 a a) (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal 1/24 binary64))) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 a x))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal 1/24 binary64))) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 a x))) x)))

eval272.0ms (3.7%)

Memory
35.6MiB live, 369.4MiB allocated
Compiler

Compiled 48 145 to 3 660 computations (92.4% saved)

prune210.0ms (2.8%)

Memory
-0.2MiB live, 407.8MiB allocated
Pruning

41 alts after pruning (31 fresh and 10 done)

PrunedKeptTotal
New1 796161 812
Fresh101525
Picked055
Done055
Total1 806411 847
Accuracy
100.0%
Counts
1 847 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 a (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) #s(literal -1 binary64))
69.9%
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
69.0%
(fma.f64 (*.f64 x (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) a (*.f64 a x))
65.6%
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
68.8%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
10.1%
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))
26.1%
(/.f64 (*.f64 (*.f64 x (*.f64 a x)) a) (*.f64 a x))
14.7%
(/.f64 (*.f64 (*.f64 x x) (*.f64 a a)) (*.f64 a x))
18.7%
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) a) (*.f64 a x))
30.7%
(/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x))
46.2%
(/.f64 (*.f64 x (/.f64 (*.f64 a (*.f64 a x)) x)) a)
26.5%
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
58.5%
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
99.9%
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
68.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
23.1%
(-.f64 (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
23.3%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
22.5%
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (fma.f64 a x #s(literal -1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
23.3%
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
22.5%
(*.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
25.9%
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
40.6%
(*.f64 (/.f64 (*.f64 x (*.f64 a x)) a) (/.f64 a x))
39.2%
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 a a) a))
36.3%
(*.f64 (/.f64 (*.f64 x x) a) (/.f64 (*.f64 a a) x))
40.6%
(*.f64 (/.f64 (*.f64 a (*.f64 x x)) a) (/.f64 a x))
40.6%
(*.f64 (/.f64 (*.f64 a (*.f64 a x)) x) (/.f64 x a))
20.1%
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))
34.1%
(*.f64 (*.f64 a (*.f64 a x)) (/.f64 x (*.f64 a x)))
33.5%
(*.f64 (*.f64 a (*.f64 a x)) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 a x))))
50.3%
(*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
69.4%
(*.f64 x a)
69.9%
(*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x))
69.1%
(*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
66.4%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
66.1%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
65.6%
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
58.7%
(*.f64 a (fma.f64 a (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))) x))
65.6%
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (fma.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
21.9%
(*.f64 a (*.f64 a (*.f64 (*.f64 x (*.f64 a (*.f64 x x))) #s(literal 1/6 binary64))))
100.0%
(expm1.f64 (*.f64 a x))
21.7%
#s(literal 0 binary64)
Compiler

Compiled 1 618 to 575 computations (64.5% saved)

regimes132.0ms (1.8%)

Memory
79.6MiB live, 221.7MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(fma.f64 x a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x))))))
(*.f64 a (*.f64 a (*.f64 (*.f64 x (*.f64 a (*.f64 x x))) #s(literal 1/6 binary64))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
(*.f64 (*.f64 a (*.f64 a x)) (/.f64 x (*.f64 a x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x))
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) a) (*.f64 a x))
(/.f64 (*.f64 (*.f64 x x) (*.f64 a a)) (*.f64 a x))
(/.f64 (*.f64 (*.f64 x (*.f64 a x)) a) (*.f64 a x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x))
(/.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (*.f64 a x))
(/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
(*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 (*.f64 a (*.f64 a x)) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 x (*.f64 a (*.f64 a x))))
(-.f64 (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 a (*.f64 a x)) x) (/.f64 x a))
(*.f64 (/.f64 (*.f64 a (*.f64 x x)) a) (/.f64 a x))
(*.f64 (/.f64 (*.f64 x x) a) (/.f64 (*.f64 a a) x))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 a a) a))
(*.f64 (/.f64 (*.f64 x (*.f64 a x)) a) (/.f64 a x))
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (*.f64 x (/.f64 (*.f64 a (*.f64 a x)) x)) a)
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))) x))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
(fma.f64 (*.f64 a (*.f64 a x)) (*.f64 x (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) a (*.f64 a x))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 a (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (fma.f64 a x #s(literal -1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (fma.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

44.0ms
a
35.0ms
x
20.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
15.0ms
(*.f64 a x)
14.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes138.0ms (1.9%)

Memory
-39.6MiB live, 113.8MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(fma.f64 x a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x))))))
(*.f64 a (*.f64 a (*.f64 (*.f64 x (*.f64 a (*.f64 x x))) #s(literal 1/6 binary64))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
(*.f64 (*.f64 a (*.f64 a x)) (/.f64 x (*.f64 a x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x))
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) a) (*.f64 a x))
(/.f64 (*.f64 (*.f64 x x) (*.f64 a a)) (*.f64 a x))
(/.f64 (*.f64 (*.f64 x (*.f64 a x)) a) (*.f64 a x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x))
(/.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (*.f64 a x))
(/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
(*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 (*.f64 a (*.f64 a x)) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 x (*.f64 a (*.f64 a x))))
(-.f64 (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 a (*.f64 a x)) x) (/.f64 x a))
(*.f64 (/.f64 (*.f64 a (*.f64 x x)) a) (/.f64 a x))
(*.f64 (/.f64 (*.f64 x x) a) (/.f64 (*.f64 a a) x))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 a a) a))
(*.f64 (/.f64 (*.f64 x (*.f64 a x)) a) (/.f64 a x))
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (*.f64 x (/.f64 (*.f64 a (*.f64 a x)) x)) a)
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) #s(literal 1/24 binary64)))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 a a)))) x))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64))))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 a (*.f64 x (fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a))))
(fma.f64 (*.f64 a (*.f64 a x)) (*.f64 x (fma.f64 x (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 a (fma.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) a (*.f64 a x))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64))) (fma.f64 a x #s(literal 2 binary64))) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (fma.f64 a x #s(literal 2 binary64))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 a (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (fma.f64 a x #s(literal -1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) (fma.f64 (fma.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
Outputs
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
Calls

5 calls:

78.0ms
a
16.0ms
(*.f64 a x)
15.0ms
(exp.f64 (*.f64 a x))
14.0ms
x
12.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
69.9%1a
69.9%1x
69.9%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
69.9%1(exp.f64 (*.f64 a x))
69.9%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes60.0ms (0.8%)

Memory
-1.9MiB live, 72.5MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(fma.f64 x a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x))))))
(*.f64 a (*.f64 a (*.f64 (*.f64 x (*.f64 a (*.f64 x x))) #s(literal 1/6 binary64))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
(*.f64 (*.f64 a (*.f64 a x)) (/.f64 x (*.f64 a x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x))
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) a) (*.f64 a x))
(/.f64 (*.f64 (*.f64 x x) (*.f64 a a)) (*.f64 a x))
(/.f64 (*.f64 (*.f64 x (*.f64 a x)) a) (*.f64 a x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x))
(/.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (*.f64 a x))
(/.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (fma.f64 a x #s(literal 2 binary64)))
(*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 (*.f64 a (*.f64 a x)) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 x (*.f64 a (*.f64 a x))))
(-.f64 (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 a (*.f64 a x)) x) (/.f64 x a))
(*.f64 (/.f64 (*.f64 a (*.f64 x x)) a) (/.f64 a x))
(*.f64 (/.f64 (*.f64 x x) a) (/.f64 (*.f64 a a) x))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 a a) a))
(*.f64 (/.f64 (*.f64 x (*.f64 a x)) a) (/.f64 a x))
(*.f64 (fma.f64 x (*.f64 a (*.f64 a x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (*.f64 x (/.f64 (*.f64 a (*.f64 a x)) x)) a)
Outputs
(*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x))
Calls

5 calls:

18.0ms
a
12.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
10.0ms
x
10.0ms
(*.f64 a x)
8.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
69.9%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
69.9%1(exp.f64 (*.f64 a x))
69.9%1(*.f64 a x)
69.9%1a
69.9%1x
Compiler

Compiled 25 to 17 computations (32% saved)

regimes34.0ms (0.5%)

Memory
20.4MiB live, 58.0MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(+.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(fma.f64 x a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x x))))))
(*.f64 a (*.f64 a (*.f64 (*.f64 x (*.f64 a (*.f64 x x))) #s(literal 1/6 binary64))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (*.f64 x (*.f64 a #s(literal 1/6 binary64))) x))
(*.f64 (*.f64 a (*.f64 a x)) (/.f64 x (*.f64 a x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x))
(/.f64 (*.f64 (*.f64 a (*.f64 x x)) a) (*.f64 a x))
(/.f64 (*.f64 (*.f64 x x) (*.f64 a a)) (*.f64 a x))
(/.f64 (*.f64 (*.f64 x (*.f64 a x)) a) (*.f64 a x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
Outputs
(*.f64 a x)
Calls

5 calls:

9.0ms
(*.f64 a x)
6.0ms
x
6.0ms
a
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
69.4%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
69.4%1(exp.f64 (*.f64 a x))
69.4%1(*.f64 a x)
69.4%1a
69.4%1x
Compiler

Compiled 25 to 17 computations (32% saved)

regimes30.0ms (0.4%)

Memory
-65.6MiB live, 15.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
#s(literal 0 binary64)
Calls

5 calls:

2.0ms
a
1.0ms
x
1.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
21.7%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
21.7%1(exp.f64 (*.f64 a x))
21.7%1a
21.7%1(*.f64 a x)
21.7%1x
Compiler

Compiled 25 to 17 computations (32% saved)

simplify6.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
12140
Stop Event
saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x))
(*.f64 a x)
#s(literal 0 binary64)
Outputs
(expm1.f64 (*.f64 a x))
(fma.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 a x))
(*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x))
(*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
(*.f64 a x)
#s(literal 0 binary64)

soundness835.0ms (11.3%)

Memory
14.8MiB live, 402.5MiB allocated
Rules
8 560×lower-fma.f64
8 560×lower-fma.f32
6 574×lower-fma.f32
6 562×lower-fma.f64
4 502×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023129
047126
1205126
21645126
08359126
0613
0913
13013
215213
0134611
063432
1195432
2526424
31050424
41650424
51848424
61875424
71895424
81909424
91912424
101912424
112607420
123082420
134049420
144050420
154050420
164178420
174178420
186095416
196319416
206361416
216375416
226375416
236551416
246889416
256889416
267463416
07463360
Stop Event
fuel
iter limit
saturated
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 84 to 45 computations (46.4% saved)

preprocess56.0ms (0.8%)

Memory
16.4MiB live, 99.9MiB allocated
Remove

(sort a x)

Compiler

Compiled 136 to 66 computations (51.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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