expax (section 3.5)

Time bar (total: 9.4s)

analyze17.0ms (0.2%)

Memory
29.9MiB live, 29.9MiB 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)

sample712.0ms (7.6%)

Memory
-16.2MiB live, 768.6MiB allocated
Samples
433.0ms8 256×0valid
12.0ms291×0invalid
Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-mult: 105.0ms (49.8% of total)
ival-expm1: 53.0ms (25.1% of total)
ival->: 42.0ms (19.9% of total)
exact: 7.0ms (3.3% of total)
ival-assert: 4.0ms (1.9% of total)
Bogosity

preprocess19.0ms (0.2%)

Memory
1.6MiB live, 40.8MiB 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)

explain77.0ms (0.8%)

Memory
-11.6MiB live, 157.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
10-0-(exp.f64 (*.f64 a x))
00-0-a
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))cancellation1330
exp.f64(exp.f64 (*.f64 a x))sensitivity10
Confusion
Predicted +Predicted -
+1330
-1122
Precision
0.9925373134328358
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13300
-10122
Precision?
0.9925373134328358
Recall?
1.0
Freqs
test
numberfreq
0122
1134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 4.0ms (33.7% of total)
ival-mult: 4.0ms (33.7% of total)
ival-expm1: 3.0ms (25.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory
7.9MiB live, 7.9MiB 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)

localize31.0ms (0.3%)

Memory
-3.8MiB live, 36.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a x)
accuracy100.0%
(exp.f64 (*.f64 a x))
accuracy54.6%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Samples
24.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 2.0ms (34.6% of total)
ival-mult: 2.0ms (34.6% of total)
ival-expm1: 2.0ms (34.6% 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%)

Memory
5.3MiB live, 5.3MiB 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
@0
(- (exp (* a x)) 1)
0.0ms
a
@0
(* a x)
0.0ms
x
@inf
(* a x)

rewrite85.0ms (0.9%)

Memory
19.7MiB live, 134.7MiB 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))))))
(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))))))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(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)

simplify311.0ms (3.3%)

Memory
-8.5MiB live, 389.9MiB 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 (0.2%)

Memory
20.0MiB live, 58.9MiB allocated
Compiler

Compiled 3 186 to 324 computations (89.8% saved)

prune21.0ms (0.2%)

Memory
-18.6MiB live, 61.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1767183
Fresh000
Picked101
Done000
Total1777184
Accuracy
100.0%
Counts
184 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
24.3%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
21.6%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
63.3%
(*.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))
62.4%
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
68.5%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 136 to 86 computations (36.8% saved)

simplify316.0ms (3.4%)

Memory
4.8MiB live, 479.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
cost-diff0
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
cost-diff0
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) 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-diff0
(*.f64 a x)
cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 a x)
cost-diff0
(expm1.f64 (*.f64 a x))
Rules
13 500×lower-fma.f32
13 496×lower-fma.f64
3 114×lower-*.f32
3 106×lower-*.f64
3 002×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01358
02555
14855
28155
322555
480955
5286155
6496355
7778955
0804855
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 a x)
a
x
(-.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 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
a
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
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 a x)
a
x
(-.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 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
a
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
x

localize66.0ms (0.7%)

Memory
-9.5MiB live, 105.0MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy97.0%
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
accuracy91.8%
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
accuracy100.0%
(fma.f64 a x #s(literal 1 binary64))
accuracy54.6%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 a x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 a x)
accuracy100.0%
(expm1.f64 (*.f64 a x))
Samples
22.0ms85×2valid
14.0ms83×1valid
8.0ms88×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 9.0ms (34% of total)
adjust: 5.0ms (18.9% of total)
ival-sub: 5.0ms (18.9% of total)
ival-add: 3.0ms (11.3% of total)
ival-expm1: 3.0ms (11.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
9 → 168
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 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))>
#<alt (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x x))>
#<alt (*.f64 x 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 (* 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 (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (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)>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
a
@0
(* a (+ (* a (* 1/2 (* x x))) x))
0.0ms
x
@inf
(* a (+ (* a (* 1/2 (* x x))) x))
0.0ms
a
@inf
(* a (+ (* a (* 1/2 (* x x))) x))
0.0ms
a
@-inf
(* a (+ (* a (* 1/2 (* x x))) x))
0.0ms
x
@0
(* a (+ (* a (* 1/2 (* x x))) x))

rewrite334.0ms (3.6%)

Memory
20.4MiB live, 406.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 428×lower-fma.f32
9 424×lower-fma.f64
5 232×lower-*.f32
5 224×lower-*.f64
3 696×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
02541
19441
266341
0890941
Stop Event
iter limit
node limit
iter limit
Counts
9 → 569
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 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x 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 (*.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (+.f64 x 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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (+.f64 x 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))))))
(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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (+.f64 x 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))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify414.0ms (4.4%)

Memory
8.6MiB live, 522.3MiB allocated
Algorithm
egg-herbie
Rules
17 360×lower-fma.f64
17 360×lower-fma.f32
5 612×lower-*.f64
5 612×lower-*.f32
2 190×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095992
1308992
2783988
32436988
46574988
08168890
Stop Event
iter limit
node limit
Counts
168 → 166
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 (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (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)
(pow x 2)
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 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(* 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 (*.f64 (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.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 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(* 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 (*.f64 a a) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) 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 #s(literal 1/2 binary64) (*.f64 x x)) 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 (* 1/2 (* a (pow x 2)))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) 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 (* 1/2 (* (pow a 2) x))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* 1/2 (* a (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* 1/2 (* a (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
x
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* 1/2 (* a (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* 1/2 (* a (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval100.0ms (1.1%)

Memory
-5.7MiB live, 183.4MiB allocated
Compiler

Compiled 19 196 to 1 263 computations (93.4% saved)

prune103.0ms (1.1%)

Memory
-1.7MiB live, 204.2MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New85820878
Fresh112
Picked235
Done000
Total86124885
Accuracy
100.0%
Counts
885 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal -1 binary64))
22.7%
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64))
23.1%
(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
66.2%
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
36.6%
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))
19.7%
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))
67.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
23.5%
(-.f64 (fma.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64))
5.6%
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
23.5%
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
24.3%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
24.2%
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
24.4%
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
68.5%
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)
68.1%
(*.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))))
10.6%
(*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x)))))
17.9%
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
69.5%
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
68.3%
(*.f64 a (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.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)))) x))
63.3%
(*.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))
68.5%
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
68.5%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
21.6%
#s(literal 0 binary64)
Compiler

Compiled 847 to 452 computations (46.6% saved)

simplify353.0ms (3.8%)

Memory
26.8MiB live, 504.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))
cost-diff192
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))))
cost-diff192
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff3392
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64))
cost-diff0
(*.f64 a x)
cost-diff0
(fma.f64 a x #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
cost-diff2112
(*.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))))
cost-diff0
(*.f64 a #s(literal 1/2 binary64))
cost-diff0
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)
cost-diff320
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
cost-diff0
(*.f64 a x)
cost-diff0
(*.f64 a (*.f64 a x))
cost-diff0
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
cost-diff0
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
Rules
16 338×lower-fma.f32
16 322×lower-fma.f64
3 294×lower-*.f32
3 270×lower-*.f64
3 180×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033279
063265
1137262
2377262
31163259
45526259
57168215
08241211
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
x
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
(*.f64 a (*.f64 a x))
a
(*.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))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
(*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
a
(*.f64 a #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
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 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
(fma.f64 a x #s(literal 2 binary64))
a
x
#s(literal 2 binary64)
(*.f64 a x)
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))
#s(literal 1 binary64)
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
a
x
(fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 a x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x))))
(+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))
(*.f64 a (fma.f64 a (*.f64 x x) x))
(fma.f64 a (*.f64 x x) x)
(*.f64 x x)
#s(literal -1 binary64)
Outputs
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(*.f64 x (fma.f64 (*.f64 x (*.f64 a a)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
x
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
(fma.f64 (*.f64 x (*.f64 a a)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
(*.f64 a (*.f64 a x))
(*.f64 x (*.f64 a a))
a
(*.f64 a x)
(*.f64 x a)
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 a #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)
#s(literal 0 binary64)
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
(*.f64 x (fma.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a))
(*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)
(*.f64 a (*.f64 (*.f64 x a) #s(literal 1/2 binary64)))
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
a
(*.f64 a #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 a x)
(*.f64 x a)
(*.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 x a)
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
(*.f64 a (*.f64 x (fma.f64 x a #s(literal 2 binary64))))
(fma.f64 a x #s(literal 2 binary64))
(fma.f64 x a #s(literal 2 binary64))
a
x
#s(literal 2 binary64)
(*.f64 a x)
(*.f64 x a)
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))
#s(literal 1 binary64)
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 x a #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64))
(+.f64 (fma.f64 x a #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))))
(*.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))
(*.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 x a #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a #s(literal 1 binary64))
a
x
(fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 a (*.f64 x (fma.f64 x a #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 a x #s(literal 2 binary64))
(fma.f64 x a #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a x)
(*.f64 x a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))
(fma.f64 (*.f64 x a) (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (fma.f64 a (*.f64 x x) x))
(*.f64 a (fma.f64 x (*.f64 x a) x))
(fma.f64 a (*.f64 x x) x)
(fma.f64 x (*.f64 x a) x)
(*.f64 x x)
#s(literal -1 binary64)

localize179.0ms (1.9%)

Memory
3.8MiB live, 272.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy97.0%
(*.f64 a (fma.f64 a (*.f64 x x) x))
accuracy91.8%
(fma.f64 a (*.f64 x x) x)
accuracy75.9%
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64))
accuracy54.6%
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 a x)
accuracy99.9%
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))
accuracy80.4%
(*.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))))
accuracy100.0%
(*.f64 a x)
accuracy100.0%
(*.f64 a #s(literal 1/2 binary64))
accuracy92.3%
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
accuracy89.3%
(*.f64 (*.f64 a (*.f64 a #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 a (*.f64 a x))
accuracy99.4%
(*.f64 x #s(literal 1/6 binary64))
accuracy98.9%
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
Samples
55.0ms80×2valid
39.0ms83×1valid
25.0ms88×0valid
4.0ms3valid
Compiler

Compiled 316 to 40 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 37.0ms (42.3% of total)
ival-add: 19.0ms (21.7% of total)
adjust: 16.0ms (18.3% of total)
ival-div: 7.0ms (8% of total)
const: 4.0ms (4.6% of total)
ival-sub: 2.0ms (2.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory
-10.6MiB live, 67.3MiB allocated
Counts
20 → 444
Calls
Call 1
Inputs
#<alt (*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))>
#<alt (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)>
#<alt (*.f64 a (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))>
#<alt (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)>
#<alt (*.f64 a (*.f64 a #s(literal 1/2 binary64)))>
#<alt (*.f64 a #s(literal 1/2 binary64))>
#<alt (*.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))))>
#<alt (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))>
#<alt (fma.f64 a x #s(literal 2 binary64))>
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64))>
#<alt (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))>
#<alt (fma.f64 a (*.f64 x x) x)>
#<alt (*.f64 a (fma.f64 a (*.f64 x x) x))>
Outputs
#<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 (* 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>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))>
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))>
#<alt a>
#<alt (+ a (* 1/2 (* (pow a 2) x)))>
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))>
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))>
#<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 (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<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 (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* a (- (* 2 x) x)))>
#<alt (+ 1 (* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x)))>
#<alt (+ 1 (* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) 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 (* x (- (* 2 a) a)))>
#<alt (+ 1 (* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a)))>
#<alt (+ 1 (* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a)))>
#<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 (- (* 2 x) x))>
#<alt (* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x))>
#<alt (* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x))>
#<alt (* a (- (+ (* 2 x) (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* x (- (pow x 3) (* 2 (pow x 3)))))))) (pow x 3)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 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 (* x (- (* 2 a) a))>
#<alt (* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a))>
#<alt (* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a))>
#<alt (* x (- (+ (* 2 a) (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 (pow a 3))))) (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (* a (- (pow a 3) (* 2 (pow a 3)))))))) (pow a 3)) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a))>
#<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 2>
#<alt (+ 2 (* a (+ x (* 2 x))))>
#<alt (+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (pow x 2)))))))>
#<alt (+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (+ (* a (pow x 3)) (pow x 2))))))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* (pow a 3) (+ (* 2 (/ (pow x 2) a)) (+ (/ (pow x 2) a) (pow x 3))))>
#<alt (* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3))))))>
#<alt (* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (* 2 (/ 1 (pow a 3))) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3)))))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) a)) (* -1 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 2 (/ 1 a))) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))>
#<alt 2>
#<alt (+ 2 (* x (+ a (* 2 a))))>
#<alt (+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (pow a 2)))))))>
#<alt (+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (+ (* (pow a 3) x) (pow a 2))))))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* (pow x 3) (+ (* 2 (/ (pow a 2) x)) (+ (/ (pow a 2) x) (pow a 3))))>
#<alt (* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3))))))>
#<alt (* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (* 2 (/ 1 (pow x 3))) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3)))))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (pow a 2)) (pow a 2)) x)) (* -1 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 2 (/ 1 x))) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* a (pow x 2)))))>
#<alt (+ 1 (* a (+ x (* a (pow x 2)))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2))))>
#<alt (* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2)))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* (pow a 2) x))))>
#<alt (+ 1 (* x (+ a (* (pow a 2) x))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2)))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt 1/2>
#<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 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))>
#<alt (+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)>
#<alt (/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)>
#<alt (/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)>
#<alt (/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)>
#<alt (/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>
#<alt x>
#<alt (+ x (* a (pow x 2)))>
#<alt (+ x (* a (pow x 2)))>
#<alt (+ x (* a (pow x 2)))>
#<alt (* a (pow x 2))>
#<alt (* a (+ (/ x a) (pow x 2)))>
#<alt (* a (+ (/ x a) (pow x 2)))>
#<alt (* a (+ (/ x a) (pow x 2)))>
#<alt (* a (pow x 2))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* a x)))>
#<alt (* x (+ 1 (* a x)))>
#<alt (* x (+ 1 (* a x)))>
#<alt (* a (pow x 2))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* a (pow x 2))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* a (+ x (* a (pow x 2))))>
#<alt (* a (+ x (* a (pow x 2))))>
#<alt (* a (+ x (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* a x)>
#<alt (* x (+ a (* (pow a 2) x)))>
#<alt (* x (+ a (* (pow a 2) x)))>
#<alt (* x (+ a (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
Calls

111 calls:

TimeVariablePointExpression
7.0ms
a
@0
(/ 1 (+ (* a x) 2))
5.0ms
a
@0
(* a (* a 1/2))
2.0ms
a
@-inf
(* (+ (* a x) 2) (* a x))
2.0ms
x
@inf
(+ (* (+ 1 (* (+ (* a x) 1) (+ (* (+ (* a x) 2) (* a x)) 1))) (/ 1 (+ 1 (* a (+ (* a (* x x)) x))))) -1)
2.0ms
a
@-inf
(+ (* (+ 1 (* (+ (* a x) 1) (+ (* (+ (* a x) 2) (* a x)) 1))) (/ 1 (+ 1 (* a (+ (* a (* x x)) x))))) -1)

rewrite428.0ms (4.6%)

Memory
21.0MiB live, 524.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 492×lower-fma.f32
6 476×lower-fma.f64
4 858×lower-*.f32
4 834×lower-*.f64
4 188×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032207
062190
1274190
22294190
09063183
Stop Event
iter limit
node limit
iter limit
Counts
20 → 818
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
(*.f64 a (*.f64 a x))
(*.f64 a x)
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
(*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a #s(literal 1/2 binary64))
(*.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 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
(fma.f64 a x #s(literal 2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64))
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))
(fma.f64 a (*.f64 x x) x)
(*.f64 a (fma.f64 a (*.f64 x x) x))
Outputs
(+.f64 (*.f64 x a) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x a))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))) (-.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x a))) (/.f64 (*.f64 x (*.f64 x (*.f64 a a))) (-.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x a))))
(fma.f64 x a (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 x (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 a x (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 a (*.f64 (*.f64 x (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) (*.f64 x a))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (*.f64 x a) (*.f64 x (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (*.f64 x a) (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 x a #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (*.f64 x (*.f64 a a)) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 x a))
(fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x a))
(fma.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 (*.f64 x a) (fma.f64 x a #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
(fma.f64 (*.f64 x (*.f64 x (*.f64 a a))) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (/.f64 (*.f64 x a) (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x a #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 a a)) (*.f64 x a))
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (fma.f64 x a #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
(fma.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 a a)))))
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(fma.f64 (*.f64 x x) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x a))
(fma.f64 (*.f64 x (*.f64 x a)) a (*.f64 x a))
(fma.f64 (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 1 binary64) (*.f64 x a))
(fma.f64 (*.f64 a a) (*.f64 x x) (*.f64 x a))
(fma.f64 (*.f64 a a) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x a))
(fma.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 x a) (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x a #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (fma.f64 x a #s(literal -2 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 x (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 x a) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 x a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 a (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 x (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 a (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 x (fma.f64 x a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 x a) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 x a) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (fma.f64 x a #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 x a) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x a #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x a #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) (fma.f64 x a #s(literal 2 binary64))) (/.f64 a #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) #s(literal 8 binary64))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) (fma.f64 x (*.f64 x (*.f64 a a)) #s(literal -4 binary64))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 a a))))
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a))) (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x (*.f64 x (*.f64 a a)))) (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x a)))
(/.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a))))))
(/.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x))) (-.f64 (*.f64 x (*.f64 x a)) x))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) a) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x)) a) (-.f64 (*.f64 x (*.f64 x a)) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a))) (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 x (*.f64 x (*.f64 a a))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x a))))
(/.f64 (neg.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a)))))))
(/.f64 (neg.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x)))) (neg.f64 (-.f64 (*.f64 x (*.f64 x a)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) a)) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 x a)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x a) x) (-.f64 (*.f64 x (*.f64 x a)) x)) a)) (neg.f64 (-.f64 (*.f64 x (*.f64 x a)) x)))
(/.f64 (fma.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 x (*.f64 x (*.f64 a a)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 a a))) (*.f64 x (*.f64 x (*.f64 a a)))) (*.f64 (*.f64 x a) (*.f64 x (*.f64 x (*.f64 a a)))))))
(*.f64 a (fma.f64 x (*.f64 x a) x))
(*.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 x (*.f64 x a) x)))
(*.f64 (fma.f64 x (*.f64 x a) x) a)
(*.f64 (*.f64 a (fma.f64 x (*.f64 x a) x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) a) (fma.f64 x (*.f64 x a) x))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x a) x)) a)

simplify387.0ms (4.1%)

Memory
29.6MiB live, 541.6MiB allocated
Algorithm
egg-herbie
Rules
11 818×lower-fma.f64
11 818×lower-fma.f32
6 482×lower-*.f64
6 482×lower-*.f32
3 082×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05384220
118903895
264293821
080823581
Stop Event
iter limit
node limit
Counts
444 → 440
Calls
Call 1
Inputs
(* 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)))))
(* 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
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
a
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(* (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 (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 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)
(* 2 (* a x))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* 2 (* a x))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
1
(+ 1 (* a (- (* 2 x) x)))
(+ 1 (* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x)))
(+ 1 (* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) 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 (* x (- (* 2 a) a)))
(+ 1 (* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a)))
(+ 1 (* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a)))
(* 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 (- (* 2 x) x))
(* a (- (+ (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* 2 x)) x))
(* a (- (+ (* 2 x) (* a (- (* a (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x))
(* a (- (+ (* 2 x) (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* x (- (pow x 3) (* 2 (pow x 3)))))))) (pow x 3)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* 2 (pow x 3)))))) (+ (* -1 (pow x 2)) (pow x 2))))) x))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* x (- (* 2 a) a))
(* x (- (+ (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* 2 a)) a))
(* x (- (+ (* 2 a) (* x (- (* x (- (pow a 3) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a))
(* x (- (+ (* 2 a) (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 (pow a 3))))) (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (* a (- (pow a 3) (* 2 (pow a 3)))))))) (pow a 3)) (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (* 2 (pow a 3)))))) (+ (* -1 (pow a 2)) (pow a 2))))) a))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
2
(+ 2 (* a (+ x (* 2 x))))
(+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (pow x 2)))))))
(+ 2 (* a (+ x (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (+ (* a (pow x 3)) (pow x 2))))))))
(* (pow a 3) (pow x 3))
(* (pow a 3) (+ (* 2 (/ (pow x 2) a)) (+ (/ (pow x 2) a) (pow x 3))))
(* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3))))))
(* (pow a 3) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (+ (* 2 (/ 1 (pow a 3))) (+ (/ x (pow a 2)) (+ (/ (pow x 2) a) (pow x 3)))))))
(* (pow a 3) (pow x 3))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) a)) (* -1 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 x) (* -1 x)) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 x) (* -1 x)) (* 2 (/ 1 a))) a)) (+ (* 2 (pow x 2)) (pow x 2))) a)) (* -1 (pow x 3)))))
2
(+ 2 (* x (+ a (* 2 a))))
(+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (pow a 2)))))))
(+ 2 (* x (+ a (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (+ (* (pow a 3) x) (pow a 2))))))))
(* (pow a 3) (pow x 3))
(* (pow x 3) (+ (* 2 (/ (pow a 2) x)) (+ (/ (pow a 2) x) (pow a 3))))
(* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3))))))
(* (pow x 3) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (+ (* 2 (/ 1 (pow x 3))) (+ (/ a (pow x 2)) (+ (/ (pow a 2) x) (pow a 3)))))))
(* (pow a 3) (pow x 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (pow a 2)) (pow a 2)) x)) (* -1 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 a) (* -1 a)) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 a) (* -1 a)) (* 2 (/ 1 x))) x)) (+ (* 2 (pow a 2)) (pow a 2))) x)) (* -1 (pow a 3)))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* a (pow x 2)))))
(+ 1 (* a (+ x (* a (pow x 2)))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2))))
(* (pow a 2) (+ (/ 1 (pow a 2)) (+ (/ x a) (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (pow x 2)))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* (pow a 2) x))))
(+ 1 (* x (+ a (* (pow a 2) x))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ a x) (pow a 2))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (pow a 2)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1/2
(+ 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)))))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))
(/ 1 (* a x))
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))
(/ 1 (* a x))
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
x
(+ x (* a (pow x 2)))
(+ x (* a (pow x 2)))
(+ x (* a (pow x 2)))
(* a (pow x 2))
(* a (+ (/ x a) (pow x 2)))
(* a (+ (/ x a) (pow x 2)))
(* a (+ (/ x a) (pow x 2)))
(* a (pow x 2))
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))
x
(* x (+ 1 (* a x)))
(* x (+ 1 (* a x)))
(* x (+ 1 (* a x)))
(* a (pow x 2))
(* (pow x 2) (+ a (/ 1 x)))
(* (pow x 2) (+ a (/ 1 x)))
(* (pow x 2) (+ a (/ 1 x)))
(* a (pow x 2))
(* (pow x 2) (+ a (/ 1 x)))
(* (pow x 2) (+ a (/ 1 x)))
(* (pow x 2) (+ a (/ 1 x)))
(* a x)
(* a (+ x (* a (pow x 2))))
(* a (+ x (* a (pow x 2))))
(* a (+ x (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(* a x)
(* x (+ a (* (pow a 2) x)))
(* x (+ a (* (pow a 2) x)))
(* x (+ a (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(* (pow x 2) (+ (/ a x) (pow a 2)))
Outputs
(* 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 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) a))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 x x)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) 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 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) 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 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 a a) x) #s(literal -1/2 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x))))
(* 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 a (fma.f64 a (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.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 a (fma.f64 a (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 x x)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) a)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) 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 a) (*.f64 a (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) a) (/.f64 x (*.f64 a a))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 x x)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) a)) (*.f64 a (*.f64 a (neg.f64 a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)) a)) (*.f64 a (*.f64 a (neg.f64 a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)) a)) (*.f64 a (*.f64 a (neg.f64 a))))
a
(* a (+ 1 (* 1/2 (* a x))))
(fma.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))) a)
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) a)
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) a)
(* 1/6 (* (pow a 3) (pow x 2)))
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) a)))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
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(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 x x))))) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 a (*.f64 a (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 x (*.f64 x x)))))) a)) (neg.f64 a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(fma.f64 x (*.f64 a #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) (*.f64 a #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))) (*.f64 a #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 x x)))))
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a x))))) x)
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)
(/.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a x)))) x)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))
(neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a x))))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 a (*.f64 a a)))))) x)) (neg.f64 x))
x
(+ x (* a (pow x 2)))
(fma.f64 a (*.f64 x x) x)
(+ x (* a (pow x 2)))
(fma.f64 a (*.f64 x x) x)
(+ x (* a (pow x 2)))
(fma.f64 a (*.f64 x x) x)
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (+ (/ x a) (pow x 2)))
(*.f64 a (fma.f64 x x (/.f64 x a)))
(* a (+ (/ x a) (pow x 2)))
(*.f64 a (fma.f64 x x (/.f64 x a)))
(* a (+ (/ x a) (pow x 2)))
(*.f64 a (fma.f64 x x (/.f64 x a)))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 x x (/.f64 x a))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 x x (/.f64 x a))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 x x (/.f64 x a))))
x
(* x (+ 1 (* a x)))
(fma.f64 a (*.f64 x x) x)
(* x (+ 1 (* a x)))
(fma.f64 a (*.f64 x x) x)
(* x (+ 1 (* a x)))
(fma.f64 a (*.f64 x x) x)
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* (pow x 2) (+ a (/ 1 x)))
(fma.f64 a (*.f64 x x) x)
(* (pow x 2) (+ a (/ 1 x)))
(fma.f64 a (*.f64 x x) x)
(* (pow x 2) (+ a (/ 1 x)))
(fma.f64 a (*.f64 x x) x)
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* (pow x 2) (+ a (/ 1 x)))
(fma.f64 a (*.f64 x x) x)
(* (pow x 2) (+ a (/ 1 x)))
(fma.f64 a (*.f64 x x) x)
(* (pow x 2) (+ a (/ 1 x)))
(fma.f64 a (*.f64 x x) x)
(* a x)
(*.f64 a x)
(* a (+ x (* a (pow x 2))))
(*.f64 a (fma.f64 a (*.f64 x x) x))
(* a (+ x (* a (pow x 2))))
(*.f64 a (fma.f64 a (*.f64 x x) x))
(* a (+ x (* a (pow x 2))))
(*.f64 a (fma.f64 a (*.f64 x x) x))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow a 2) (+ (/ x a) (pow x 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* a x)
(*.f64 a x)
(* x (+ a (* (pow a 2) x)))
(*.f64 a (fma.f64 a (*.f64 x x) x))
(* x (+ a (* (pow a 2) x)))
(*.f64 a (fma.f64 a (*.f64 x x) x))
(* x (+ a (* (pow a 2) x)))
(*.f64 a (fma.f64 a (*.f64 x x) x))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))
(* (pow x 2) (+ (/ a x) (pow a 2)))
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x a))))

eval627.0ms (6.7%)

Memory
-69.2MiB live, 324.4MiB allocated
Compiler

Compiled 59 520 to 4 213 computations (92.9% saved)

prune321.0ms (3.4%)

Memory
30.3MiB live, 309.1MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New1 702111 713
Fresh7916
Picked325
Done033
Total1 712251 737
Accuracy
100.0%
Counts
1 737 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.5%
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
68.5%
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
36.6%
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))
68.1%
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
19.7%
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))
67.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
24.3%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
26.6%
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
24.2%
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
21.2%
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64))
24.4%
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
68.5%
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)
3.1%
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
68.5%
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
68.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x)
68.2%
(*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))))
68.2%
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64))))
17.9%
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
69.5%
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
68.5%
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a))
63.3%
(*.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))
68.5%
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
68.5%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
21.6%
#s(literal 0 binary64)
Compiler

Compiled 629 to 365 computations (42% saved)

simplify306.0ms (3.3%)

Memory
55.8MiB live, 523.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x a #s(literal 2 binary64))
cost-diff0
(*.f64 a (fma.f64 x a #s(literal 2 binary64)))
cost-diff0
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64))))
cost-diff1792
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
cost-diff0
(*.f64 a x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 a x))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
cost-diff0
(*.f64 a x)
cost-diff0
(fma.f64 a x #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
cost-diff0
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
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-diff0
(*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 x a)
cost-diff0
(*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
cost-diff320
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
Rules
8 686×lower-fma.f32
8 676×lower-fma.f64
4 056×lower-*.f32
4 040×lower-*.f64
3 326×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024145
043128
1104127
2296127
31368127
42471127
53372127
64765127
08115126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
(*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 x a)
x
a
(*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 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)
#s(literal 1 binary64)
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
(fma.f64 a x #s(literal 2 binary64))
a
x
#s(literal 2 binary64)
(*.f64 a x)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a x)
a
x
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64))))
x
(*.f64 a (fma.f64 x a #s(literal 2 binary64)))
a
(fma.f64 x a #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
(*.f64 (*.f64 x a) (fma.f64 (*.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a a)))
(*.f64 x a)
x
a
(*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x a)
(fma.f64 a x #s(literal -1 binary64))
(fma.f64 x a #s(literal -1 binary64))
a
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x a #s(literal 2 binary64)))))
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64))))
(fma.f64 a x #s(literal 2 binary64))
(fma.f64 x a #s(literal 2 binary64))
a
x
#s(literal 2 binary64)
(*.f64 a x)
(*.f64 x a)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 x a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/.f64 #s(literal 1 binary64) (*.f64 x a))
(*.f64 a x)
(*.f64 x a)
a
x
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
(*.f64 x a)
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64))))
x
(*.f64 a (fma.f64 x a #s(literal 2 binary64)))
a
(fma.f64 x a #s(literal 2 binary64))
#s(literal 2 binary64)

localize195.0ms (2.1%)

Memory
13.1MiB live, 257.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x a #s(literal 2 binary64))
accuracy99.9%
(*.f64 a (fma.f64 x a #s(literal 2 binary64)))
accuracy98.9%
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64))))
accuracy80.4%
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
accuracy100.0%
(*.f64 a x)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 a x))
accuracy98.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
accuracy100.0%
(fma.f64 a x #s(literal 2 binary64))
accuracy100.0%
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 a x)
accuracy99.9%
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
accuracy100.0%
(fma.f64 a x #s(literal -1 binary64))
accuracy54.7%
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy99.9%
(*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy99.8%
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy99.8%
(*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
accuracy98.9%
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
Samples
42.0ms83×1valid
41.0ms85×2valid
16.0ms88×0valid
Compiler

Compiled 162 to 28 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 18.0ms (31.3% of total)
ival-div: 16.0ms (27.8% of total)
ival-add: 10.0ms (17.4% of total)
adjust: 9.0ms (15.6% of total)
const: 4.0ms (6.9% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated
Counts
17 → 408
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))>
#<alt (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))>
#<alt (*.f64 x a)>
#<alt (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 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 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))>
#<alt (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))>
#<alt (fma.f64 a x #s(literal 2 binary64))>
#<alt (*.f64 a x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 a x))>
#<alt (/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))>
#<alt (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64))))>
#<alt (*.f64 a (fma.f64 x a #s(literal 2 binary64)))>
#<alt (fma.f64 x a #s(literal 2 binary64))>
#<alt (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
Outputs
#<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 (* 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 (* 1/2 (* (pow a 2) x))>
#<alt (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))>
#<alt (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))>
#<alt (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))>
#<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 (* 1/2 a)>
#<alt (* a (+ 1/2 (* 1/6 (* a x))))>
#<alt (* a (+ 1/2 (* 1/6 (* a x))))>
#<alt (* a (+ 1/2 (* 1/6 (* a x))))>
#<alt (* 1/6 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* 1/6 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* 1/2 a)>
#<alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))>
#<alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))>
#<alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))>
#<alt (* 1/6 (* (pow a 2) x))>
#<alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 (* (pow a 2) x))>
#<alt (* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<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 (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<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 (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<alt (- (* a x) 1)>
#<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 (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 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 (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* 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 (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* a x)))>
#<alt (* a (+ 2 (* a x)))>
#<alt (* a (+ 2 (* a x)))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* (pow a 2) (+ x (* 2 (/ 1 a))))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* (pow a 2) x))>
#<alt (+ (* 2 a) (* (pow a 2) x))>
#<alt (+ (* 2 a) (* (pow a 2) x))>
#<alt (* (pow a 2) x)>
#<alt (* x (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* x (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* x (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) x)>
#<alt (* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))>
#<alt (* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))>
#<alt (* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 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 1/2>
#<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)))))>
Calls

102 calls:

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

rewrite472.0ms (5%)

Memory
-74.4MiB live, 610.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 000×lower-fma.f32
10 990×lower-fma.f64
4 670×lower-*.f32
4 654×lower-*.f64
4 630×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024124
043117
1209116
21333116
08298115
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 867
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
(*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 x a)
(*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 a x #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x))
(fma.f64 a x #s(literal 2 binary64))
(*.f64 a x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
(*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64))))
(*.f64 a (fma.f64 x a #s(literal 2 binary64)))
(fma.f64 x a #s(literal 2 binary64))
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 x a) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(+.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 x a))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (neg.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))))
(-.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (-.f64 (*.f64 x a) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))) (/.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (-.f64 (*.f64 x a) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))))
(fma.f64 x a (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 x (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a a))) (*.f64 x a))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 a x (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 a (*.f64 x (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 x a))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x) (*.f64 x a))
(fma.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a a))) x (*.f64 x a))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x a)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (*.f64 x a)) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal -1 binary64) (*.f64 x a))) (*.f64 x a))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 x a))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 x a) (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (*.f64 x a))
(fma.f64 (*.f64 x a) (/.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (neg.f64 (*.f64 x a)) #s(literal -1 binary64) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (neg.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))))
(fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x a #s(literal -1 binary64)))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) (fma.f64 x a #s(literal -1 binary64))))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 (*.f64 x a) (fma.f64 x a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 x (*.f64 a a)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) (*.f64 x a))
(fma.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (*.f64 x a) (*.f64 x a))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x a #s(literal -1 binary64))))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (neg.f64 (*.f64 (*.f64 x a) (fma.f64 x a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x a #s(literal -2 binary64)))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (fma.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x a) #s(literal 0 binary64))))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -1 binary64)))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (*.f64 x (*.f64 x a)) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1 binary64) x) a (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) a) x (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (neg.f64 (*.f64 x a)) (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 x a) (*.f64 x a))
(fma.f64 (*.f64 a #s(literal 1 binary64)) x (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x a))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) a)) (*.f64 x a))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (*.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x a #s(literal -1 binary64)) (fma.f64 x a #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x a #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 (*.f64 (*.f64 x a) (fma.f64 x a #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x a) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x a) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x a) #s(literal -1/2 binary64))) (/.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 x a) #s(literal -1/2 binary64))) (*.f64 x a))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))))
(fma.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 a a))) x) (/.f64 (*.f64 x (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))))
(fma.f64 (/.f64 (*.f64 x a) x) (/.f64 (*.f64 (*.f64 a (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) (*.f64 (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x a) x))) (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x (fma.f64 x (*.f64 (*.f64 a a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x a) #s(literal 1/12 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))

simplify483.0ms (5.2%)

Memory
-11.6MiB live, 567.1MiB allocated
Algorithm
egg-herbie
Rules
15 166×lower-fma.f64
15 166×lower-fma.f32
5 404×lower-*.f64
5 404×lower-*.f32
2 306×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842696
16442620
219032560
335422556
082862346
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* 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)))))
(* 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)))))
(* 1/2 (* (pow a 2) x))
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* 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)
(* a (+ 1/2 (* 1/6 (* a x))))
(* a (+ 1/2 (* 1/6 (* a x))))
(* a (+ 1/2 (* 1/6 (* a x))))
(* 1/6 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/6 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/2 a)
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(* 1/6 (* (pow a 2) x))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/6 (* (pow a 2) x))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* 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
(- (* a x) 1)
(- (* a x) 1)
(- (* a x) 1)
(* 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
(- (* a x) 1)
(- (* a x) 1)
(- (* a x) 1)
(* 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 (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 2 (* a x))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* 2 (* a x))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 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)
(/ 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))
(* 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)
(* 2 (* a x))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* 2 (* a x))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* 2 a)
(* a (+ 2 (* a x)))
(* a (+ 2 (* a x)))
(* a (+ 2 (* a x)))
(* (pow a 2) x)
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) x)
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* 2 a)
(+ (* 2 a) (* (pow a 2) x))
(+ (* 2 a) (* (pow a 2) x))
(+ (* 2 a) (* (pow a 2) x))
(* (pow a 2) x)
(* x (+ (* 2 (/ a x)) (pow a 2)))
(* x (+ (* 2 (/ a x)) (pow a 2)))
(* x (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) x)
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 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)))))
1/2
(+ 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)))))
Outputs
(* 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 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 x (*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(*.f64 x (*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 x (fma.f64 a (*.f64 (*.f64 a a) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (/.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 x (fma.f64 a (*.f64 (*.f64 a a) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (/.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) x)))
(* 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 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.f64 x (*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #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 x (fma.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(*.f64 x (*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) a)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) a)))
(* 1/2 (* (pow a 2) x))
(*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))))
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (* (pow a 3) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (* (pow a 3) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/2 (* (pow a 2) x))
(*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (* (pow a 3) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (* (pow a 3) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(*.f64 (*.f64 a a) (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 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)
(* 1/2 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 (* 1/6 (* a x))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #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)))
(* 1/6 (* (pow a 2) x))
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (* (pow a 2) x))
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 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)))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (* (pow a 2) x))
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (* (pow a 2) x))
(*.f64 a (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 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)
(- (* a x) 1)
(fma.f64 a x #s(literal -1 binary64))
(- (* a x) 1)
(fma.f64 a x #s(literal -1 binary64))
(- (* a x) 1)
(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)
(- (* a x) 1)
(fma.f64 a x #s(literal -1 binary64))
(- (* a x) 1)
(fma.f64 a x #s(literal -1 binary64))
(- (* a x) 1)
(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 #s(literal 1/2 binary64) (*.f64 x x)) 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 (* 1/2 (* a (pow x 2)))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) 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 (* 1/2 (* (pow a 2) x))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* 2 (* a x))
(*.f64 (*.f64 a x) #s(literal 2 binary64))
(* a (+ (* 2 x) (* a (pow x 2))))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (pow x 2))))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (pow x 2))))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
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(* 2 (* a x))
(*.f64 (*.f64 a x) #s(literal 2 binary64))
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(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* x (+ (* 2 a) (* (pow a 2) x)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* x (+ (* 2 a) (* (pow a 2) x)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 2 (/ 1 a))))
(fma.f64 a x #s(literal 2 binary64))
(* a (+ x (* 2 (/ 1 a))))
(fma.f64 a x #s(literal 2 binary64))
(* a (+ x (* 2 (/ 1 a))))
(fma.f64 a x #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(fma.f64 a x #s(literal 2 binary64))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(fma.f64 a x #s(literal 2 binary64))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(fma.f64 a x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* x (+ a (* 2 (/ 1 x))))
(fma.f64 a x #s(literal 2 binary64))
(* x (+ a (* 2 (/ 1 x))))
(fma.f64 a x #s(literal 2 binary64))
(* x (+ a (* 2 (/ 1 x))))
(fma.f64 a x #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(fma.f64 a x #s(literal 2 binary64))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(fma.f64 a x #s(literal 2 binary64))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(fma.f64 a x #s(literal 2 binary64))
(* 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 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.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)
(* 2 (* a x))
(*.f64 (*.f64 a x) #s(literal 2 binary64))
(* x (+ (* 2 a) (* (pow a 2) x)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* x (+ (* 2 a) (* (pow a 2) x)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* x (+ (* 2 a) (* (pow a 2) x)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* 2 (* a x))
(*.f64 (*.f64 a x) #s(literal 2 binary64))
(* a (+ (* 2 x) (* a (pow x 2))))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (pow x 2))))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (pow x 2))))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 x (*.f64 a (fma.f64 a x #s(literal 2 binary64))))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* a (+ 2 (* a x)))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* a (+ 2 (* a x)))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* a (+ 2 (* a x)))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(+ (* 2 a) (* (pow a 2) x))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(+ (* 2 a) (* (pow a 2) x))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(+ (* 2 a) (* (pow a 2) x))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* x (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* x (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* x (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* x (+ a (* 2 (/ 1 x))))
(fma.f64 a x #s(literal 2 binary64))
(* x (+ a (* 2 (/ 1 x))))
(fma.f64 a x #s(literal 2 binary64))
(* x (+ a (* 2 (/ 1 x))))
(fma.f64 a x #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(fma.f64 a x #s(literal 2 binary64))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(fma.f64 a x #s(literal 2 binary64))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(fma.f64 a x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 2 (/ 1 a))))
(fma.f64 a x #s(literal 2 binary64))
(* a (+ x (* 2 (/ 1 a))))
(fma.f64 a x #s(literal 2 binary64))
(* a (+ x (* 2 (/ 1 a))))
(fma.f64 a x #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(fma.f64 a x #s(literal 2 binary64))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(fma.f64 a x #s(literal 2 binary64))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(fma.f64 a x #s(literal 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 a (*.f64 x #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 a (*.f64 x #s(literal 1/6 binary64)))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.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 a (*.f64 x #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 a (*.f64 x #s(literal 1/6 binary64)))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.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 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))

eval418.0ms (4.5%)

Memory
28.2MiB live, 681.8MiB allocated
Compiler

Compiled 65 297 to 5 133 computations (92.1% saved)

prune347.0ms (3.7%)

Memory
-15.7MiB live, 667.2MiB allocated
Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New2 82582 833
Fresh31215
Picked145
Done055
Total2 829292 858
Accuracy
100.0%
Counts
2 858 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.5%
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) (neg.f64 (*.f64 x a))))) #s(literal -1 binary64))
69.5%
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
68.5%
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
36.6%
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))
3.1%
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x))
19.7%
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))
68.3%
(/.f64 x (/.f64 #s(literal 1 binary64) a))
67.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
67.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
67.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
24.3%
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
26.6%
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
24.2%
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
24.4%
(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
4.0%
(+.f64 (*.f64 a x) #s(literal 1 binary64))
32.0%
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a)))
68.5%
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)
68.5%
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
68.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) x)
68.5%
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64))
68.2%
(*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))))
68.2%
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64))))
17.9%
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
69.5%
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
68.5%
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a))
63.3%
(*.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))
68.5%
(*.f64 a x)
100.0%
(expm1.f64 (*.f64 a x))
21.6%
#s(literal 0 binary64)
Compiler

Compiled 1 044 to 386 computations (63% saved)

regimes68.0ms (0.7%)

Memory
11.5MiB live, 91.8MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.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 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x))
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a)))
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
(*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) 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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x)))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal -1 binary64))
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) (neg.f64 (*.f64 x a))))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))
(-.f64 (fma.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 a (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.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)))) x))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

17.0ms
a
14.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
13.0ms
x
12.0ms
(*.f64 a x)
10.0ms
(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)

regimes65.0ms (0.7%)

Memory
12.8MiB live, 87.9MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.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 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x))
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a)))
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
(*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) 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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x)))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64))))) #s(literal -1 binary64))
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 x a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 a a)) (neg.f64 (*.f64 x a))))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) a) (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))
(-.f64 (fma.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 a (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.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)))) x))
Outputs
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
Calls

5 calls:

16.0ms
x
14.0ms
(exp.f64 (*.f64 a x))
12.0ms
a
11.0ms
(*.f64 a x)
9.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
69.5%1a
69.5%1x
74.3%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
74.3%2(exp.f64 (*.f64 a x))
74.3%2(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes46.0ms (0.5%)

Memory
-20.5MiB live, 62.2MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.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 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x))
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a)))
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
(*.f64 (*.f64 x a) (*.f64 (fma.f64 x a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 2 binary64))) (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) 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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
Outputs
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
Calls

4 calls:

16.0ms
x
14.0ms
(*.f64 a x)
7.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
7.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
69.5%1x
69.5%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
69.5%1(exp.f64 (*.f64 a x))
69.5%1(*.f64 a x)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes45.0ms (0.5%)

Memory
24.9MiB live, 60.8MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.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 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (*.f64 a x))
(*.f64 (*.f64 a (fma.f64 x a #s(literal 2 binary64))) (/.f64 x (fma.f64 x a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(/.f64 (*.f64 x (*.f64 a (fma.f64 x a #s(literal 2 binary64)))) (fma.f64 x a #s(literal 2 binary64)))
(*.f64 (*.f64 a (*.f64 a (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (fma.f64 (*.f64 x a) (*.f64 x a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x a)))
Outputs
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
Calls

5 calls:

16.0ms
a
8.0ms
x
7.0ms
(*.f64 a x)
6.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
69.5%1(*.f64 a x)
69.5%1a
69.5%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
69.5%1(exp.f64 (*.f64 a x))
69.5%1x
Compiler

Compiled 25 to 17 computations (32% saved)

regimes63.0ms (0.7%)

Memory
-13.2MiB live, 59.2MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
(fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x (*.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.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
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
Calls

5 calls:

31.0ms
(exp.f64 (*.f64 a x))
14.0ms
(*.f64 a x)
6.0ms
x
6.0ms
a
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
68.5%1(*.f64 a x)
68.5%1a
68.5%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
68.5%1(exp.f64 (*.f64 a x))
68.5%1x
Compiler

Compiled 25 to 17 computations (32% saved)

regimes33.0ms (0.3%)

Memory
-3.7MiB live, 49.8MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(-.f64 (-.f64 (fma.f64 a x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a (*.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (*.f64 (fma.f64 x a #s(literal 2 binary64)) x) a) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) a)
(/.f64 x (/.f64 #s(literal 1 binary64) a))
(-.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) a))) #s(literal 1 binary64))
Outputs
(*.f64 a x)
Calls

5 calls:

15.0ms
(*.f64 a x)
5.0ms
x
5.0ms
a
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
68.5%1a
68.5%1(*.f64 a x)
68.5%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
68.5%1(exp.f64 (*.f64 a x))
68.5%1x
Compiler

Compiled 25 to 17 computations (32% saved)

regimes7.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB 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:

1.0ms
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
21.6%1a
21.6%1x
21.6%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
21.6%1(exp.f64 (*.f64 a x))
21.6%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-232.42821606008349
-7.684447822775271e-7
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify15.0ms (0.2%)

Memory
-21.0MiB live, 16.7MiB allocated
Algorithm
egg-herbie
Rules
24×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
mul-1-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03592
15392
25692
36092
Stop Event
saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)))
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
(*.f64 a x)
#s(literal 0 binary64)
Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a)))
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 a (*.f64 x x) x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 a x)))
(fma.f64 (*.f64 (*.f64 x a) (*.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 x a))
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x (*.f64 a x))
(*.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) x)))
(fma.f64 x a (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 a x)
#s(literal 0 binary64)

soundness1.7s (18.7%)

Memory
-19.8MiB live, 882.4MiB allocated
Rules
17 360×lower-fma.f64
17 360×lower-fma.f32
11 818×lower-fma.f64
11 818×lower-fma.f32
9 428×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
215213
0134611
032207
062190
1274190
22294190
09063183
05384220
118903895
264293821
080823581
095992
1308992
2783988
32436988
46574988
08168890
01344
02541
19441
266341
0890941
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
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 202 to 104 computations (48.5% saved)

preprocess54.0ms (0.6%)

Memory
27.9MiB live, 106.7MiB allocated
Remove

(sort a x)

Compiler

Compiled 252 to 112 computations (55.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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