expax (section 3.5)

Time bar (total: 13.1s)

analyze20.0ms (0.2%)

Memory
-37.9MiB live, 44.5MiB allocated
Algorithm
1×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)

sample613.0ms (4.7%)

Memory
124.1MiB live, 1 202.9MiB allocated
Samples
342.0ms8 256×0valid
15.0ms325×0invalid
Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 81.0ms (47.6% of total)
ival-expm1: 56.0ms (32.9% of total)
ival->: 22.0ms (12.9% of total)
exact: 7.0ms (4.1% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

preprocess19.0ms (0.1%)

Memory
3.0MiB live, 41.8MiB allocated
Algorithm
2×egg-herbie
Rules
44×sub-neg
40×exp-sum
24×exp-prod
24×+-commutative
18×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01942
14542
27540
311040
414340
516740
620640
722840
824240
925340
1025440
066
1146
2176
0174
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (exp (* a x)) 1)
Outputs
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
Call 2
Inputs
(- (exp (* a x)) 1)
(- (exp (* (neg a) x)) 1)
(- (exp (* a (neg x))) 1)
(neg (- (exp (* (neg a) x)) 1))
(neg (- (exp (* a (neg x))) 1))
(- (exp (* x a)) 1)
Outputs
(- (exp (* a x)) 1)
(+ (pow (exp a) x) -1)
(- (exp (* (neg a) x)) 1)
(+ (pow (exp (neg a)) x) -1)
(- (exp (* a (neg x))) 1)
(+ (pow (exp (neg a)) x) -1)
(neg (- (exp (* (neg a) x)) 1))
(- 1 (pow (exp (neg a)) x))
(neg (- (exp (* a (neg x))) 1))
(- 1 (pow (exp (neg a)) x))
(- (exp (* x a)) 1)
(+ (pow (exp a) x) -1)
Symmetry

(sort a x)

explain91.0ms (0.7%)

Memory
-31.3MiB live, 177.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1400-0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-a
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 a x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))cancellation1400
Confusion
Predicted +Predicted -
+1400
-0116
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14000
-00116
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0116
1140
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 4.0ms (35.1% of total)
ival-mult: 4.0ms (35.1% of total)
ival-expm1: 3.0ms (26.3% 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
0.9MiB live, 0.9MiB allocated
Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.6%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.1%)

Memory
-30.1MiB live, 12.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(exp.f64 (*.f64 a x))
✓cost-diff128
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(expm1.f64 (*.f64 a x))
Rules
6×exp-lowering-exp.f32
6×exp-lowering-exp.f64
4×pow-lowering-pow.f64
4×pow-lowering-pow.f32
4×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0627
11427
21727
01723
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (exp (* a x)) 1)
(* a x)
a
x
(- (exp (* a x)) 1)
(exp (* a x))
(* a x)
a
x
1
Outputs
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
a
x
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
a
x
1
#s(literal 1 binary64)

localize23.0ms (0.2%)

Memory
26.6MiB live, 65.7MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(exp.f64 (*.f64 a x))
✓accuracy50.6%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(expm1.f64 (*.f64 a x))
Samples
13.0ms256×0valid
Compiler

Compiled 27 to 8 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (36.7% of total)
ival-mult: 2.0ms (36.7% of total)
ival-expm1: 2.0ms (36.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* 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 (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (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))>
Calls

24 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
x
@inf
(* a x)
0.0ms
a
@0
(* a x)

rewrite135.0ms (1%)

Memory
-16.7MiB live, 217.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
806×accelerator-lowering-fma.f32
806×accelerator-lowering-fma.f64
650×*-lowering-*.f32
650×*-lowering-*.f64
594×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
12719
214919
0134015
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
4 → 198
Calls
Call 1
Inputs
(- (exp (* a x)) 1)
(* a x)
(- (exp (* a x)) 1)
(exp (* 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 #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 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)))))
(-.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 #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 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 #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.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 #s(literal 2 binary64)))) (-.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 #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(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 #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.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 #s(literal 2 binary64)))) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(fma.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 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 #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(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 2 binary64))))) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (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 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a 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 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (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 #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) (*.f64 a (*.f64 x #s(literal 2 binary64))))) (*.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 #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) (*.f64 a (*.f64 x #s(literal 2 binary64))))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (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 #s(literal 2 binary64)))))))))
(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)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 2 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.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 #s(literal 2 binary64)))) (-.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))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.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 #s(literal 2 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 (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 #s(literal 2 binary64)))))))
(/.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 #s(literal 2 binary64)))))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 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 #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (*.f64 (expm1.f64 (+.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) (*.f64 a (*.f64 x #s(literal 2 binary64))))) (/.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 2 binary64))))))
(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 #s(literal 2 binary64))))))))
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.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 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (/.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 #s(literal 2 binary64))))))) (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 #s(literal 2 binary64)))))
(*.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 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (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 #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) (*.f64 a (*.f64 x #s(literal 2 binary64))))) (*.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 #s(literal 2 binary64))))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) (*.f64 a (*.f64 x #s(literal 2 binary64))))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 a) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (+.f64 a a)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 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 2 binary64)))) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))))
(*.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 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 2 binary64))))) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))))

simplify363.0ms (2.8%)

Memory
-21.5MiB live, 405.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 560×accelerator-lowering-fma.f32
8 560×accelerator-lowering-fma.f64
3 454×associate-*r*
2 992×*-lowering-*.f32
2 992×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063648
1195648
2526636
31050636
41650636
51848636
61875636
71895636
81909636
91912636
101912636
112607628
123082628
134049628
144050628
154050628
164178628
174178628
186095620
196319620
206361620
216375620
226375620
236551620
246889620
256889620
267463620
07463520
Stop Event
1×iter limit
1×saturated
Counts
96 → 96
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 (* 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))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
(- (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 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
(- (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 (* 1/2 (* a (pow x 2)))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
(- (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 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
(- (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))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 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))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 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))

eval38.0ms (0.3%)

Memory
8.7MiB live, 83.6MiB allocated
Compiler

Compiled 6 078 to 338 computations (94.4% saved)

prune27.0ms (0.2%)

Memory
-14.3MiB live, 67.6MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3208328
Fresh000
Picked022
Done000
Total32010330
Accuracy
100.0%
Counts
330 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.7%
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
▶99.6%
(/.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 #s(literal 2 binary64)))))))
▶18.8%
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓50.6%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
17.4%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶67.8%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
66.8%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
66.8%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
▶67.8%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 296 to 170 computations (42.6% saved)

simplify413.0ms (3.1%)

Memory
6.9MiB live, 716.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(exp.f64 (*.f64 a x))
✓cost-diff64
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))
✓cost-diff26624
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
✓cost-diff0
(*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(+.f64 (*.f64 a x) #s(literal 1 binary64))
✓cost-diff256
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 a (*.f64 x #s(literal 3 binary64)))
✓cost-diff0
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
✓cost-diff0
(/.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 #s(literal 2 binary64)))))))
Rules
14 124×accelerator-lowering-fma.f32
14 124×accelerator-lowering-fma.f64
4 190×*-lowering-*.f32
4 190×*-lowering-*.f64
3 026×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032286
192286
2255286
31052286
42935286
56826286
08604266
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
(- (exp (* a (* x 3))) 1)
(* a (* x 3))
a
(* x 3)
x
3
(+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))
(exp (* a x))
(* a x)
(+ 1 (exp (* a (* x 2))))
1
(exp (* a (* x 2)))
(* a (* x 2))
(* x 2)
2
(* a x)
a
x
(- (+ (* a x) 1) 1)
(+ (* a x) 1)
(* a x)
a
x
1
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))
(* a x)
a
x
(+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))
1
(* (* a x) (+ 1/2 (* x (* a 1/6))))
(+ 1/2 (* x (* a 1/6)))
1/2
(* x (* a 1/6))
(* a 1/6)
1/6
(+ (* (exp (* a x)) (/ (exp (* a (* x 2))) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))) (neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))))
(exp (* a x))
(* a x)
a
x
(/ (exp (* a (* x 2))) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
(exp (* a (* x 2)))
(* a (* x 2))
(* x 2)
2
(+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))
(+ 1 (exp (* a (* x 2))))
1
(neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))))
(/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
Outputs
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))
(- (exp (* a (* x 3))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(* a (* x 3))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
a
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(+ 1 (exp (* a (* x 2))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(exp (* a (* x 2)))
(exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))
(* a (* x 2))
(*.f64 (*.f64 a x) #s(literal 2 binary64))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* a x)
(*.f64 a x)
a
x
(- (+ (* a x) 1) 1)
(*.f64 a x)
(+ (* a x) 1)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(* a x)
(*.f64 a x)
a
x
1
#s(literal 1 binary64)
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
(* a x)
(*.f64 a x)
a
x
(+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))
1
#s(literal 1 binary64)
(* (* a x) (+ 1/2 (* x (* a 1/6))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))
(+ 1/2 (* x (* a 1/6)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* x (* a 1/6))
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(* a 1/6)
(*.f64 a #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ (* (exp (* a x)) (/ (exp (* a (* x 2))) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))) (neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
a
x
(/ (exp (* a (* x 2))) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
(/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))
(exp (* a (* x 2)))
(exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))
(* a (* x 2))
(*.f64 (*.f64 a x) #s(literal 2 binary64))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))
(+ 1 (exp (* a (* x 2))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))

localize280.0ms (2.1%)

Memory
-1.2MiB live, 303.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 a x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
✓accuracy100.0%
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
✓accuracy50.7%
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
✓accuracy99.9%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
✓accuracy99.9%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))
✓accuracy99.7%
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
✓accuracy99.4%
(*.f64 a #s(literal 1/6 binary64))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(+.f64 (*.f64 a x) #s(literal 1 binary64))
✓accuracy50.6%
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
✓accuracy99.7%
(/.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 #s(literal 2 binary64)))))))
✓accuracy99.6%
(*.f64 a (*.f64 x #s(literal 3 binary64)))
Samples
100.0ms83×2valid
58.0ms87×1valid
23.0ms86×0valid
Compiler

Compiled 308 to 33 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
const: 35.0ms (23.9% of total)
ival-exp: 29.0ms (19.8% of total)
ival-add: 29.0ms (19.8% of total)
ival-mult: 23.0ms (15.7% of total)
ival-div: 13.0ms (8.9% of total)
adjust: 9.0ms (6.2% of total)
ival-expm1: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
-11.2MiB live, 70.0MiB allocated
Counts
17 → 384
Calls
Call 1
Inputs
#<alt (/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))>
#<alt (- (exp (* a (* x 3))) 1)>
#<alt (* a (* x 3))>
#<alt (* x 3)>
#<alt (* a x)>
#<alt (- (+ (* a x) 1) 1)>
#<alt (+ (* a x) 1)>
#<alt (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))>
#<alt (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))>
#<alt (* (* a x) (+ 1/2 (* x (* a 1/6))))>
#<alt (+ (* (exp (* a x)) (/ (exp (* a (* x 2))) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))) (neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))))>
#<alt (neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a (* x 2)))>
#<alt (* a 1/6)>
#<alt (* x (* a 1/6))>
#<alt (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (* 3 (* a x))>
#<alt (* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))>
#<alt (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))>
#<alt (* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (* 3 (* a x))>
#<alt (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))>
#<alt (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))>
#<alt (* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
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#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/9 (* a (+ x (* 2 x)))))>
#<alt (+ 1/3 (* a (- (* -1 (* a (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))) (* 1/9 (+ x (* 2 x))))))>
#<alt (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -1/3 (* (+ x (* 2 x)) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))) (+ (* -1/27 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/9 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))))))) (+ (* -1/27 (pow (+ x (* 2 x)) 2)) (* 1/9 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))) (* 1/9 (+ x (* 2 x))))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/9 (* x (+ a (* 2 a)))))>
#<alt (+ 1/3 (* x (- (* -1 (* x (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))) (* 1/9 (+ a (* 2 a))))))>
#<alt (+ 1/3 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (* (+ a (* 2 a)) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))) (+ (* -1/27 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/9 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))) (* 1/9 (+ a (* 2 a))))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
Calls

96 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
6.0ms
x
@inf
(+ (* (exp (* a x)) (/ (exp (* a (* x 2))) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))) (neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))))
4.0ms
x
@0
(+ (* (exp (* a x)) (/ (exp (* a (* x 2))) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))) (neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))))
3.0ms
a
@0
(+ (* (exp (* a x)) (/ (exp (* a (* x 2))) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))) (neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))))
2.0ms
a
@-inf
(* (* a x) (+ 1/2 (* x (* a 1/6))))

rewrite578.0ms (4.4%)

Memory
28.5MiB live, 733.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 488×accelerator-lowering-fma.f32
5 488×accelerator-lowering-fma.f64
4 846×*-lowering-*.f32
4 846×*-lowering-*.f64
4 450×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032160
1196160
21802160
09489148
Stop Event
1×iter limit
1×node limit
Counts
17 → 924
Calls
Call 1
Inputs
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
(- (exp (* a (* x 3))) 1)
(* a (* x 3))
(* x 3)
(* a x)
(- (+ (* a x) 1) 1)
(+ (* a x) 1)
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))
(+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))
(* (* a x) (+ 1/2 (* x (* a 1/6))))
(+ (* (exp (* a x)) (/ (exp (* a (* x 2))) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))) (neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))))
(neg (/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))))
(exp (* a x))
(exp (* a (* x 2)))
(* a 1/6)
(* x (* a 1/6))
(/ 1 (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
Outputs
(+.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))) (log1p.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal 2 binary64))) (/.f64 (-.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -2 binary64)) (/.f64 (-.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))) (/.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal 3 binary64)) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))) (log1p.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -3 binary64)) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))) (log1p.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))) (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))) (log1p.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))))
(fma.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(fma.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (exp.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (exp.f64 (*.f64 a x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
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(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -3 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))))))
(pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x))) (exp.f64 #s(literal 1 binary64)))
(/.f64 (exp.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64))))) (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/.f64 (exp.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 a) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 a) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 x) (*.f64 a #s(literal 1 binary64)))
(pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x))
(pow.f64 (exp.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) x)) a)
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) a)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(*.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))))
(*.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (+.f64 (*.f64 a x) #s(literal -1 binary64))))
(*.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x))) (exp.f64 #s(literal -1 binary64)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x))))
(exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a #s(literal 2 binary64)))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 x #s(literal 2 binary64)))) a))
(exp.f64 (*.f64 a (+.f64 x x)))
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 a) (+.f64 x x))
(pow.f64 (exp.f64 a) (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) x)
(pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) a)
(pow.f64 (exp.f64 x) (*.f64 a #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))
(pow.f64 (exp.f64 x) (+.f64 a a))
(pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a x)))
(*.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) x))
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(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 (*.f64 a #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) a)
(exp.f64 (*.f64 (log1p.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 a x)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (expm1.f64 (*.f64 a x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) #s(literal -1 binary64)))

simplify659.0ms (5%)

Memory
-2.5MiB live, 961.6MiB allocated
Algorithm
1×egg-herbie
Rules
16 728×accelerator-lowering-fma.f32
16 728×accelerator-lowering-fma.f64
7 306×*-lowering-*.f32
7 306×*-lowering-*.f64
5 734×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05505334
119614918
085584542
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(* a x)
(* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(* 3 (* a x))
(* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(* 3 (* a x))
(* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 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
(+ 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))))
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(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 x (*.f64 x #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) x)))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/2 binary64))))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) x)) (*.f64 x #s(literal 1 binary64))))) (+.f64 (*.f64 x (*.f64 x #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) x))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 a (-.f64 (-.f64 (*.f64 #s(literal 9/8 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) x)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/2 binary64))))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) x)) (*.f64 x #s(literal 1 binary64)))) (*.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))))) (-.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/2 binary64))))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) x)) (*.f64 x #s(literal 1 binary64)))))) (+.f64 (*.f64 x (*.f64 x #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) x))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))
(*.f64 x (+.f64 a (*.f64 x (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 x (-.f64 (+.f64 (*.f64 a (*.f64 #s(literal 3/2 binary64) (*.f64 a a))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 a a) (*.f64 #s(literal 5/2 binary64) a)))) (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))) (*.f64 a #s(literal 1 binary64))))) (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (-.f64 (-.f64 (*.f64 #s(literal 9/8 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/2 binary64))) a)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a a)) #s(literal 5/2 binary64)) (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))))) (*.f64 (-.f64 (+.f64 (*.f64 a (*.f64 #s(literal 3/2 binary64) (*.f64 a a))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 a a) (*.f64 #s(literal 5/2 binary64) a)))) (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))) (*.f64 a #s(literal 1 binary64)))) (*.f64 a #s(literal 1 binary64))))) (-.f64 (+.f64 (*.f64 a (*.f64 #s(literal 3/2 binary64) (*.f64 a a))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 a a) (*.f64 #s(literal 5/2 binary64) a)))) (*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))) (*.f64 a #s(literal 1 binary64)))))) (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64))))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))
(*.f64 x (+.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 x (*.f64 a (*.f64 a #s(literal 9/2 binary64))))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))
(*.f64 a (+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 9/2 binary64)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 a (*.f64 x x)))))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))
(*.f64 a (+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 a (+.f64 (*.f64 x (*.f64 x #s(literal 9/2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 9/2 binary64))))))))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))
(*.f64 x (+.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 x (*.f64 a (*.f64 a #s(literal 9/2 binary64))))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))
(*.f64 x (+.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 x #s(literal 9/2 binary64)) (+.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a x)))))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))
(*.f64 x (+.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 9/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 x (pow.f64 a #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal 9/2 binary64))))))))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 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
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (/ 1 a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a (+ x (/ 1 a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a (+ x (/ 1 a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) a))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* x (+ a (/ 1 x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- (* -1 a) (/ 1 x))))
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#s(literal 1 binary64)
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(+ 1/3 (* x (- (* -1 (* x (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))) (* 1/9 (+ a (* 2 a))))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 (*.f64 a a) #s(literal 5/18 binary64)))) (*.f64 #s(literal -1/3 binary64) a))))
(+ 1/3 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (* (+ a (* 2 a)) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))) (+ (* -1/27 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/9 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))) (+ (* -1/27 (pow (+ a (* 2 a)) 2)) (* 1/9 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))) (* 1/9 (+ a (* 2 a))))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 (*.f64 a a) #s(literal 5/18 binary64)))) (+.f64 (*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a a))) (*.f64 (*.f64 #s(literal -1/9 binary64) a) (*.f64 a (*.f64 a #s(literal 5/2 binary64)))))))) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 (*.f64 a a) #s(literal 5/18 binary64))))) (*.f64 #s(literal -1/3 binary64) a))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))
(/ 1 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))

eval427.0ms (3.3%)

Memory
20.4MiB live, 675.8MiB allocated
Compiler

Compiled 86 913 to 3 838 computations (95.6% saved)

prune194.0ms (1.5%)

Memory
-19.5MiB live, 378.4MiB allocated
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New2 204102 214
Fresh033
Picked235
Done022
Total2 206182 224
Accuracy
100.0%
Counts
2 224 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(/.f64 (fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
▶28.7%
(/.f64 (-.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 0 binary64)) (-.f64 (*.f64 a x) #s(literal 0 binary64)))
16.2%
(/.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 0 binary64)) (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))
▶66.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))))
▶17.8%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
✓18.8%
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓50.6%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶17.4%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
17.9%
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
67.5%
(*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
▶67.6%
(*.f64 (*.f64 a x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
✓67.8%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
66.8%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
63.9%
(*.f64 x (+.f64 a (*.f64 x (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))))))
65.0%
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))))
66.8%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
✓67.8%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 639 to 327 computations (48.8% saved)

simplify240.0ms (1.8%)

Memory
12.3MiB live, 299.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
✓cost-diff128
(+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))))))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))))
✓cost-diff640
(/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)))
✓cost-diff0
(*.f64 a (*.f64 x (*.f64 a x)))
✓cost-diff128
(-.f64 (*.f64 a x) #s(literal 0 binary64))
✓cost-diff128
(-.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 0 binary64))
✓cost-diff512
(/.f64 (-.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 0 binary64)) (-.f64 (*.f64 a x) #s(literal 0 binary64)))
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(*.f64 (*.f64 a x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
✓cost-diff256
(+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
Rules
7 216×accelerator-lowering-fma.f32
7 216×accelerator-lowering-fma.f64
3 582×*-lowering-*.f32
3 582×*-lowering-*.f64
3 016×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034308
199260
2377248
31296248
47098248
08007233
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* a x) (+ (* a (* x 1/2)) (+ (* a (* x (* a (* x 1/6)))) 1)))
(* a x)
a
x
(+ (* a (* x 1/2)) (+ (* a (* x (* a (* x 1/6)))) 1))
(* a (* x 1/2))
(* x 1/2)
1/2
(+ (* a (* x (* a (* x 1/6)))) 1)
(* a (* x (* a (* x 1/6))))
(* x (* a (* x 1/6)))
(* a (* x 1/6))
(* x 1/6)
1/6
1
(- 1 1)
1
(/ (- (* a (* x (* a x))) 0) (- (* a x) 0))
(- (* a (* x (* a x))) 0)
(* a (* x (* a x)))
a
(* x (* a x))
x
(* a x)
0
(- (* a x) 0)
(/ 1 (/ (+ (* a x) 2) (* (+ (* a x) 2) (* a x))))
1
(/ (+ (* a x) 2) (* (+ (* a x) 2) (* a x)))
(+ (* a x) 2)
(* a x)
a
x
2
(* (+ (* a x) 2) (* a x))
(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)
(/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x)))))))
1
(/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))
(+ (* a (* x (* a x))) (- 1 (* a x)))
(* a (* x (* a x)))
a
(* x (* a x))
x
(* a x)
(- 1 (* a x))
(+ 1 (* (* a x) (* a (* x (* a x)))))
(* (* a x) (* a (* x (* a x))))
Outputs
(* (* a x) (+ (* a (* x 1/2)) (+ (* a (* x (* a (* x 1/6)))) 1)))
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))))
(* a x)
(*.f64 a x)
a
x
(+ (* a (* x 1/2)) (+ (* a (* x (* a (* x 1/6)))) 1))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))
(* a (* x 1/2))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* a (* x (* a (* x 1/6)))) 1)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1 binary64))
(* a (* x (* a (* x 1/6))))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a x))))
(* x (* a (* x 1/6)))
(*.f64 x (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))
(* a (* x 1/6))
(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(/ (- (* a (* x (* a x))) 0) (- (* a x) 0))
(*.f64 a x)
(- (* a (* x (* a x))) 0)
(*.f64 a (*.f64 x (*.f64 a x)))
(* a (* x (* a x)))
(*.f64 a (*.f64 x (*.f64 a x)))
a
(* x (* a x))
(*.f64 x (*.f64 a x))
x
(* a x)
(*.f64 a x)
0
#s(literal 0 binary64)
(- (* a x) 0)
(*.f64 a x)
(/ 1 (/ (+ (* a x) 2) (* (+ (* a x) 2) (* a x))))
(*.f64 a x)
1
#s(literal 1 binary64)
(/ (+ (* a x) 2) (* (+ (* a x) 2) (* a x)))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(+ (* a x) 2)
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(* a x)
(*.f64 a x)
a
x
2
#s(literal 2 binary64)
(* (+ (* a x) 2) (* a x))
(*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x (*.f64 a x)))))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64)))))) #s(literal -1 binary64))
(/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x (*.f64 a x)))))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64))))))
1
#s(literal 1 binary64)
(/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x (*.f64 a x)))))))
(+ (* a (* x (* a x))) (- 1 (* a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64)))))
(* a (* x (* a x)))
(*.f64 a (*.f64 x (*.f64 a x)))
a
(* x (* a x))
(*.f64 x (*.f64 a x))
x
(* a x)
(*.f64 a x)
(- 1 (* a x))
(-.f64 #s(literal 1 binary64) (*.f64 a x))
(+ 1 (* (* a x) (* a (* x (* a x)))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x (*.f64 a x))))))
(* (* a x) (* a (* x (* a x))))
(*.f64 a (*.f64 x (*.f64 a (*.f64 x (*.f64 a x)))))

localize121.0ms (0.9%)

Memory
-14.6MiB live, 182.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 a x))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))))))
✓accuracy98.1%
(*.f64 a (*.f64 x (*.f64 a x)))
✓accuracy74.7%
(/.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))
✓accuracy100.0%
(*.f64 a x)
✓accuracy99.9%
(*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))))
✓accuracy81.8%
(/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)))
✓accuracy100.0%
(*.f64 a x)
✓accuracy99.9%
(*.f64 x (*.f64 a x))
✓accuracy98.1%
(*.f64 a (*.f64 x (*.f64 a x)))
✓accuracy81.7%
(/.f64 (-.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 0 binary64)) (-.f64 (*.f64 a x) #s(literal 0 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 x #s(literal 1/6 binary64))
✓accuracy99.9%
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
✓accuracy98.1%
(*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))
✓accuracy95.9%
(+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
Samples
51.0ms170×1exit
21.0ms86×0valid
Compiler

Compiled 342 to 36 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 18.0ms (35.1% of total)
ival-div: 9.0ms (17.5% of total)
ival-sub: 8.0ms (15.6% of total)
adjust: 7.0ms (13.6% of total)
ival-add: 5.0ms (9.7% of total)
const: 4.0ms (7.8% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
33.5MiB live, 33.5MiB allocated
Counts
21 → 468
Calls
Call 1
Inputs
#<alt (+ (* a (* x 1/2)) (+ (* a (* x (* a (* x 1/6)))) 1))>
#<alt (* (* a x) (+ (* a (* x 1/2)) (+ (* a (* x (* a (* x 1/6)))) 1)))>
#<alt (* a x)>
#<alt (* a (* x 1/2))>
#<alt (- 1 1)>
#<alt (/ (- (* a (* x (* a x))) 0) (- (* a x) 0))>
#<alt (- (* a (* x (* a x))) 0)>
#<alt (- (* a x) 0)>
#<alt (* a (* x (* a x)))>
#<alt (/ (+ (* a x) 2) (* (+ (* a x) 2) (* a x)))>
#<alt (/ 1 (/ (+ (* a x) 2) (* (+ (* a x) 2) (* a x))))>
#<alt (+ (* a x) 2)>
#<alt (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x)))))))>
#<alt (+ (* a (* x (* a x))) (- 1 (* a x)))>
#<alt (- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)>
#<alt (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))>
#<alt (* a (* x (* a (* x 1/6))))>
#<alt (* a (* x 1/6))>
#<alt (* x 1/6)>
#<alt (* x (* a x))>
#<alt (* (+ (* a x) 2) (* a x))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
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#<alt (* a x)>
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#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
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#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
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#<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)))>
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#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
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#<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)>
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#<alt (* a x)>
#<alt (* a x)>
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#<alt (* a x)>
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#<alt (* a x)>
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#<alt (* a x)>
#<alt (* a x)>
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#<alt (* a x)>
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#<alt (* 1/2 (* a x))>
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#<alt (* 1/2 (* a x))>
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#<alt (* 1/2 (* a x))>
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#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
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#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* a x)>
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#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
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#<alt (/ 1 (* a x))>
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#<alt (/ 1 (* a x))>
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#<alt (/ 1 (* a x))>
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#<alt (/ 1 (* a x))>
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#<alt (* a x)>
#<alt (* a x)>
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#<alt (* a x)>
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#<alt (* a x)>
#<alt (* a x)>
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#<alt (* a x)>
#<alt (* a x)>
#<alt (* 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))>
#<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))))>
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#<alt (* a x)>
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#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt 1>
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#<alt (+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))>
#<alt (+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))>
#<alt (* a x)>
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#<alt (+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))>
#<alt (* a x)>
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#<alt (* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))>
#<alt 1>
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#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))>
#<alt (* a x)>
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#<alt (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))>
#<alt (* a (- (* a (- (* a (- (* -1 (* a (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 4)) (* x (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))))) (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))>
#<alt (* a x)>
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) a)) (/ 1 x)) a))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* -1 a) (* x (+ (* -1 (* (pow a 3) x)) (pow a 2))))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)>
#<alt (/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (/ 1 (* (pow a 2) x))) x)>
#<alt (/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 4) (pow x 3))))) x)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
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#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
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#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* 1/6 (* a x))>
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#<alt (* 1/6 (* a x))>
#<alt (* 1/6 x)>
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#<alt (* 1/6 x)>
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#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* 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)))>
Calls

117 calls:

TimeVariablePointExpression
6.0ms
x
@0
(/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x)))))))
2.0ms
x
@inf
(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)
2.0ms
a
@inf
(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)
2.0ms
a
@-inf
(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)
2.0ms
x
@-inf
(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)

rewrite656.0ms (5%)

Memory
-12.4MiB live, 943.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 392×accelerator-lowering-fma.f32
10 392×accelerator-lowering-fma.f64
4 316×/-lowering-/.f32
4 316×/-lowering-/.f64
3 942×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034221
1237167
22839127
09502119
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 930
Calls
Call 1
Inputs
(+ (* a (* x 1/2)) (+ (* a (* x (* a (* x 1/6)))) 1))
(* (* a x) (+ (* a (* x 1/2)) (+ (* a (* x (* a (* x 1/6)))) 1)))
(* a x)
(* a (* x 1/2))
(- 1 1)
(/ (- (* a (* x (* a x))) 0) (- (* a x) 0))
(- (* a (* x (* a x))) 0)
(- (* a x) 0)
(* a (* x (* a x)))
(/ (+ (* a x) 2) (* (+ (* a x) 2) (* a x)))
(/ 1 (/ (+ (* a x) 2) (* (+ (* a x) 2) (* a x))))
(+ (* a x) 2)
(/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x)))))))
(+ (* a (* x (* a x))) (- 1 (* a x)))
(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)
(/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))
(* a (* x (* a (* x 1/6))))
(* a (* x 1/6))
(* x 1/6)
(* x (* a x))
(* (+ (* a x) 2) (* a x))
Outputs
(+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(+.f64 (+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/4 binary64)) (-.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 a (*.f64 (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 a #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 a (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) a) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) a) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) a (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64)) a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64)) (*.f64 a #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a x) #s(literal 1/2 binary64) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 a x) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a (*.f64 x (*.f64 a x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (*.f64 x (*.f64 a x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 x (*.f64 a x))))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64)))))) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (*.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 x (*.f64 a x))))) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 a (*.f64 a x)) (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 a #s(literal 1/2 binary64)) x (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/4 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/8 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/4 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/8 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/8 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (+.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/4 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/8 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (+.f64 (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/8 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) (neg.f64 (+.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/4 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/8 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/4 binary64))) (-.f64 (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a x) (-.f64 #s(literal 0 binary64) (*.f64 a x))) (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a x) (-.f64 #s(literal 0 binary64) (*.f64 a x))) (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal -4 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64)))) (neg.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal -4 binary64)))) (neg.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64)) (*.f64 a (*.f64 x (*.f64 a x))))) (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 a x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64)) (*.f64 (*.f64 a x) (-.f64 #s(literal 0 binary64) (*.f64 a x))))) (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64)) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))))) (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 a (*.f64 x (*.f64 a x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal -4 binary64)) (*.f64 a (*.f64 x (*.f64 a x))))) (neg.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal -2 binary64)) (*.f64 a x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal -4 binary64)) (*.f64 (*.f64 a x) (-.f64 #s(literal 0 binary64) (*.f64 a x))))) (neg.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal -4 binary64)) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))))) (neg.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal -2 binary64)) (*.f64 a (*.f64 x (*.f64 a x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a (*.f64 x (*.f64 a x))))) (-.f64 #s(literal 0 binary64) (*.f64 a x)))
(/.f64 (neg.f64 (*.f64 (*.f64 a x) (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a x) (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal -4 binary64)))) (neg.f64 (+.f64 (*.f64 a x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (-.f64 #s(literal 0 binary64) (*.f64 a x))))) (*.f64 a x))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))))) (*.f64 (*.f64 a x) (-.f64 #s(literal 0 binary64) (*.f64 a x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 a x)))
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a x) (-.f64 #s(literal 0 binary64) (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 a x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 (*.f64 a x) (-.f64 #s(literal 0 binary64) (*.f64 a x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64)) (*.f64 a x))) (neg.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 a x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal -4 binary64)) (*.f64 a x))) (neg.f64 (+.f64 (*.f64 a x) #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 a (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a x))) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))))) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64))) (+.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 x (*.f64 a x))))) (-.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) (*.f64 (*.f64 a x) #s(literal 2 binary64))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64)) (*.f64 a (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a x))) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) (+.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (*.f64 a (*.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 x (*.f64 a x))))) (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a (*.f64 x (*.f64 a x)))))))
(*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(*.f64 x (*.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(*.f64 (*.f64 a x) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (*.f64 a (*.f64 x (*.f64 a x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
(*.f64 (*.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))) x)
(*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) a)
(*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a (*.f64 x (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))

simplify461.0ms (3.5%)

Memory
-17.7MiB live, 624.0MiB allocated
Algorithm
1×egg-herbie
Rules
13 520×accelerator-lowering-fma.f32
13 520×accelerator-lowering-fma.f64
5 026×*-lowering-*.f32
5 026×*-lowering-*.f64
2 574×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03423262
111383230
235903096
083482980
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* a x)
(* a x)
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(* a x)
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(* 1/2 (* a x))
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(* a x)
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(* (pow a 2) (pow x 2))
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(* (pow a 2) (pow x 2))
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(/ 1 (* a x))
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(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
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(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(* a x)
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(* a x)
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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 x))
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 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 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
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(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
1
(+ 1 (* -1 (* a x)))
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(+ 1 (* a (- (* a (pow x 2)) x)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a)))
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
1
(+ 1 (* -1 (* a x)))
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(+ 1 (* x (- (* (pow a 2) x) a)))
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(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(* a x)
(* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))
(* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))
(* a (- (* a (- (* a (- (* -1 (* a (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 4)) (* x (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))))) (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))
(* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))
(* x (- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 4)) (* a (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))))) (* a (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* -1 (* a x)))
(+ 1 (* a (+ (* -1 x) (* a (pow x 2)))))
(+ 1 (* a (+ (* -1 x) (* a (+ (* -1 (* a (pow x 3))) (pow x 2))))))
(/ 1 (* a x))
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (/ 1 (* (pow a 2) (pow x 3)))) (/ 1 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (/ 1 (* (pow a 2) (pow x 3)))) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 3) (pow x 4))))) a)
(/ 1 (* a x))
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x))))
(+ 1 (* x (+ (* -1 a) (* x (+ (* -1 (* (pow a 3) x)) (pow a 2))))))
(/ 1 (* a x))
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (/ 1 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 4) (pow x 3))))) x)
(/ 1 (* a x))
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* 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)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(*.f64 a (*.f64 a (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(*.f64 a (*.f64 a (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) a))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (+.f64 x (*.f64 a (*.f64 x (*.f64 x (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (+.f64 x (*.f64 a (*.f64 x (*.f64 x (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 a (*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 x (*.f64 a a)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 a (*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 x (*.f64 a a)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 x a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 x a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 a (*.f64 x x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 a (*.f64 x x))))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 a x) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x) (neg.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 a x) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x) (neg.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 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 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 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)
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
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(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))) x)) x)) x)
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* a (pow x 2))))
(*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (pow x 2))))
(*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (pow x 2))))
(*.f64 a (*.f64 x (+.f64 (*.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 (*.f64 a a) (*.f64 x (+.f64 x (/.f64 #s(literal 2 binary64) a))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 (*.f64 a a) (*.f64 x (+.f64 x (/.f64 #s(literal 2 binary64) a))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 (*.f64 a a) (*.f64 x (+.f64 x (/.f64 #s(literal 2 binary64) a))))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 (*.f64 a a) (*.f64 x (+.f64 x (/.f64 #s(literal 2 binary64) a))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 (*.f64 a a) (*.f64 x (+.f64 x (/.f64 #s(literal 2 binary64) a))))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(*.f64 (*.f64 a a) (*.f64 x (+.f64 x (/.f64 #s(literal 2 binary64) a))))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(* x (+ (* 2 a) (* (pow a 2) x)))
(*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(* x (+ (* 2 a) (* (pow a 2) x)))
(*.f64 a (*.f64 x (+.f64 (*.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 x (*.f64 a (+.f64 a (/.f64 #s(literal 2 binary64) x)))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 x (*.f64 a (+.f64 a (/.f64 #s(literal 2 binary64) x)))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 x (*.f64 a (+.f64 a (/.f64 #s(literal 2 binary64) x)))))
(* (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 x (*.f64 a (+.f64 a (/.f64 #s(literal 2 binary64) x)))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 x (*.f64 a (+.f64 a (/.f64 #s(literal 2 binary64) x)))))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 x (*.f64 a (+.f64 a (/.f64 #s(literal 2 binary64) x)))))

eval774.0ms (5.9%)

Memory
58.0MiB live, 1 293.7MiB allocated
Compiler

Compiled 148 586 to 12 113 computations (91.8% saved)

prune718.0ms (5.5%)

Memory
-31.1MiB live, 1 360.3MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New4 58594 594
Fresh448
Picked415
Done055
Total4 593194 612
Accuracy
100.0%
Counts
4 612 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(/.f64 (fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
66.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
66.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
66.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
▶5.5%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))) a)) #s(literal 1 binary64))
17.7%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
▶49.5%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
49.7%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
✓18.8%
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓50.6%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓67.6%
(*.f64 (*.f64 a x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
✓67.8%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
▶66.8%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
63.9%
(*.f64 x (+.f64 a (*.f64 x (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))))))
▶66.8%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
66.8%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
✓67.8%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
▶17.4%
#s(literal 0 binary64)
Compiler

Compiled 486 to 300 computations (38.3% saved)

simplify524.0ms (4%)

Memory
-5.7MiB live, 635.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x))))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))) a)
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))) a)) #s(literal 1 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))) a))
✓cost-diff0
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 a x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))))
✓cost-diff0
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
Rules
12 398×accelerator-lowering-fma.f32
12 398×accelerator-lowering-fma.f64
3 770×*-lowering-*.f32
3 770×*-lowering-*.f64
3 264×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032276
194276
2289272
3901272
42027272
53003272
63426272
73790272
85219272
97004272
107752272
08009251
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))
a
(* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))))
x
(+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))
1
(* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))
(* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))
(+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))
1/2
(* (* a x) (+ 1/6 (* (* a x) 1/24)))
(* a x)
(+ 1/6 (* (* a x) 1/24))
1/6
(* (* a x) 1/24)
1/24
0
(- (/ 1 (- 1 (* a x))) 1)
(/ 1 (- 1 (* a x)))
1
(- 1 (* a x))
(* a x)
a
x
(* (* a x) (+ 1 (* (* a x) 1/2)))
(* a x)
a
x
(+ 1 (* (* a x) 1/2))
1
(* (* a x) 1/2)
1/2
(- (/ 1 (/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a)) 1)
(/ 1 (/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a))
1
(/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a)
(+ (/ 1 x) (/ -1 (* a (* x x))))
(/ 1 x)
x
(/ -1 (* a (* x x)))
-1
(* a (* x x))
a
(* x x)
Outputs
(* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))))))
a
(* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
x
(+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))))
1
#s(literal 1 binary64)
(* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))
(* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))
(+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (* a x) (+ 1/6 (* (* a x) 1/24)))
(*.f64 a (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))
(* a x)
(*.f64 a x)
(+ 1/6 (* (* a x) 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* a x) 1/24)
(*.f64 (*.f64 a x) #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
0
#s(literal 0 binary64)
(- (/ 1 (- 1 (* a x))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal -1 binary64))
(/ 1 (- 1 (* a x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
1
#s(literal 1 binary64)
(- 1 (* a x))
(-.f64 #s(literal 1 binary64) (*.f64 a x))
(* a x)
(*.f64 a x)
a
x
(* (* a x) (+ 1 (* (* a x) 1/2)))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* a x)
(*.f64 a x)
a
x
(+ 1 (* (* a x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(* (* a x) 1/2)
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(- (/ 1 (/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 a x))))))
(/ 1 (/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a))
(/.f64 a (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 a x)))))
1
#s(literal 1 binary64)
(/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 a x)))) a)
(+ (/ 1 x) (/ -1 (* a (* x x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 a x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ -1 (* a (* x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 a x)))
-1
#s(literal -1 binary64)
(* a (* x x))
(*.f64 x (*.f64 a x))
a
(* x x)
(*.f64 x x)

localize190.0ms (1.4%)

Memory
6.4MiB live, 389.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))) a))
✓accuracy96.1%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))) a)
✓accuracy91.9%
(*.f64 a (*.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
✓accuracy99.9%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 a x))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
✓accuracy50.6%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
✓accuracy98.9%
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))
✓accuracy98.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))
✓accuracy98.5%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
✓accuracy97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))))
Samples
60.0ms83×2valid
50.0ms87×1valid
21.0ms86×0valid
Compiler

Compiled 278 to 34 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 31.0ms (35.6% of total)
ival-div: 18.0ms (20.7% of total)
ival-add: 13.0ms (14.9% of total)
adjust: 9.0ms (10.3% of total)
const: 9.0ms (10.3% of total)
ival-sub: 7.0ms (8% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
8.6MiB live, 87.0MiB allocated
Counts
18 → 432
Calls
Call 1
Inputs
#<alt (* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))>
#<alt (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))))>
#<alt (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))>
#<alt (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))>
#<alt (- (/ 1 (- 1 (* a x))) 1)>
#<alt (/ 1 (- 1 (* a x)))>
#<alt (- 1 (* a x))>
#<alt (* a x)>
#<alt (* (* a x) (+ 1 (* (* a x) 1/2)))>
#<alt (+ 1 (* (* a x) 1/2))>
#<alt (* (* a x) 1/2)>
#<alt (/ 1 (/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a))>
#<alt (- (/ 1 (/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a)) 1)>
#<alt (/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a)>
#<alt (+ (/ 1 x) (/ -1 (* a (* x x))))>
#<alt (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))>
#<alt (* a (* x x))>
#<alt (/ -1 (* a (* 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 (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))>
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))>
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))>
#<alt (* a x)>
#<alt (* a (- (* a (pow x 2)) (* -1 x)))>
#<alt (* a (- (* a (- (* a (pow x 3)) (* -1 (pow x 2)))) (* -1 x)))>
#<alt (* a (- (* a (- (* a (- (* a (pow x 4)) (* -1 (pow x 3)))) (* -1 (pow x 2)))) (* -1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (* a x))))>
#<alt (- (* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)) 1)>
#<alt (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 2))) (+ 1 (/ 1 (* a x))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (* a x))))>
#<alt (- (* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)) 1)>
#<alt (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))) a)) 1)>
#<alt (* a x)>
#<alt (* x (- (* (pow a 2) x) (* -1 a)))>
#<alt (* x (- (* x (- (* (pow a 3) x) (* -1 (pow a 2)))) (* -1 a)))>
#<alt (* x (- (* x (- (* x (- (* (pow a 4) x) (* -1 (pow a 3)))) (* -1 (pow a 2)))) (* -1 a)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (* a x))))>
#<alt (- (* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 2))) (+ 1 (/ 1 (* a x))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (* a x))))>
#<alt (- (* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (- (* a (pow x 2)) (* -1 x))))>
#<alt (+ 1 (* a (- (* a (- (* a (pow x 3)) (* -1 (pow x 2)))) (* -1 x))))>
#<alt (/ -1 (* a x))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 2))) (+ (/ 1 x) (/ 1 (* a (pow x 2))))) a)>
#<alt (/ -1 (* a x))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a))>
#<alt (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) a)) (/ 1 x)) a))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (- (* (pow a 2) x) (* -1 a))))>
#<alt (+ 1 (* x (- (* x (- (* (pow a 3) x) (* -1 (pow a 2)))) (* -1 a))))>
#<alt (/ -1 (* a x))>
#<alt (* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 2))) (+ (/ 1 a) (/ 1 (* (pow a 2) x)))) x)>
#<alt (/ -1 (* a x))>
#<alt (* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x))>
#<alt (* -1 (/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))>
#<alt 1>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (* -1 (* a x))>
#<alt (* a (- (/ 1 a) x))>
#<alt (* a (- (/ 1 a) x))>
#<alt (* a (- (/ 1 a) x))>
#<alt (* -1 (* a x))>
#<alt (* a (+ (* -1 x) (/ 1 a)))>
#<alt (* a (+ (* -1 x) (/ 1 a)))>
#<alt (* a (+ (* -1 x) (/ 1 a)))>
#<alt 1>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (* -1 (* a x))>
#<alt (* x (- (/ 1 x) a))>
#<alt (* x (- (/ 1 x) a))>
#<alt (* x (- (/ 1 x) a))>
#<alt (* -1 (* a x))>
#<alt (* x (+ (* -1 a) (/ 1 x)))>
#<alt (* x (+ (* -1 a) (/ 1 x)))>
#<alt (* x (+ (* -1 a) (/ 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 (* 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>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1 (* (pow a 3) x)) (* -1 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (pow a 2)) (* x (- (* -1 (* (pow a 4) x)) (pow a 3)))))>
#<alt (* (pow x 2) (+ (* -1 (pow a 2)) (* x (- (* x (- (* -1 (* (pow a 5) x)) (pow a 4))) (pow a 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (+ (/ 1 x) (/ 1 (* a (pow x 2))))))>
#<alt (* x (+ a (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3)))))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 a) (* -1 (/ (+ 1 (/ 1 (* a x))) x)))))>
#<alt (* -1 (* x (+ (* -1 a) (* -1 (/ (+ 1 (+ (/ 1 (* a x)) (/ 1 (* (pow a 2) (pow x 2))))) x)))))>
#<alt (* -1 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* -1 (* a (pow x 3))) (* -1 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (pow x 2)) (* a (- (* -1 (* a (pow x 4))) (pow x 3)))))>
#<alt (* (pow a 2) (+ (* -1 (pow x 2)) (* a (- (* a (- (* -1 (* a (pow x 5))) (pow x 4))) (pow x 3)))))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (+ (/ 1 a) (/ 1 (* (pow a 2) x)))))>
#<alt (* a (+ x (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2)))))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (+ (* -1 x) (* -1 (/ (+ 1 (/ 1 (* a x))) a)))))>
#<alt (* -1 (* a (+ (* -1 x) (* -1 (/ (+ 1 (+ (/ 1 (* a x)) (/ 1 (* (pow a 2) (pow x 2))))) a)))))>
#<alt -1>
#<alt (- (* -1 (* (pow a 2) (pow x 2))) 1)>
#<alt (- (* (pow x 2) (+ (* -1 (* (pow a 3) x)) (* -1 (pow a 2)))) 1)>
#<alt (- (* (pow x 2) (+ (* -1 (pow a 2)) (* x (- (* -1 (* (pow a 4) x)) (pow a 3))))) 1)>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 (* a (pow x 2)))))>
#<alt (* x (+ a (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))))>
#<alt (* x (+ a (+ (/ 1 (* a (pow x 2))) (+ (/ 1 (* (pow a 2) (pow x 3))) (/ 1 (* (pow a 3) (pow x 4)))))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 (* a (pow x 2))))))>
#<alt (* -1 (* x (+ (* -1 a) (* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ (* -1 a) (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 3)))) (/ 1 (* a (pow x 2))))))>
#<alt -1>
#<alt (- (* -1 (* (pow a 2) (pow x 2))) 1)>
#<alt (- (* (pow a 2) (+ (* -1 (* a (pow x 3))) (* -1 (pow x 2)))) 1)>
#<alt (- (* (pow a 2) (+ (* -1 (pow x 2)) (* a (- (* -1 (* a (pow x 4))) (pow x 3))))) 1)>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 (* (pow a 2) x))))>
#<alt (* a (+ x (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))))>
#<alt (* a (+ x (+ (/ 1 (* (pow a 2) x)) (+ (/ 1 (* (pow a 3) (pow x 2))) (/ 1 (* (pow a 4) (pow x 3)))))))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 (* (pow a 2) x))))>
#<alt (* -1 (* a (- (* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) (pow a 2))) x)))>
#<alt (* -1 (* a (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 3))) (+ x (/ 1 (* (pow a 2) x))))))>
#<alt (/ -1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ x a) (/ 1 (pow a 2))) (pow x 2))>
#<alt (/ (- (/ x a) (/ 1 (pow a 2))) (pow x 2))>
#<alt (/ (- (/ x a) (/ 1 (pow a 2))) (pow x 2))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)>
#<alt (/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)>
#<alt (/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))>
#<alt (/ -1 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (/ a x) (/ 1 (pow x 2))) (pow a 2))>
#<alt (/ (- (/ a x) (/ 1 (pow x 2))) (pow a 2))>
#<alt (/ (- (/ a x) (/ 1 (pow x 2))) (pow a 2))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)>
#<alt (/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)>
#<alt (/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))>
#<alt (* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))>
#<alt (* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ (- x (/ 1 a)) (pow x 2))>
#<alt (/ (- x (/ 1 a)) (pow x 2))>
#<alt (/ (- x (/ 1 a)) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 (* a x))) x)>
#<alt (/ (- 1 (/ 1 (* a x))) x)>
#<alt (/ (- 1 (/ 1 (* a x))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 (* a x)) 1) x))>
#<alt (* -1 (/ (- (/ 1 (* a x)) 1) x))>
#<alt (* -1 (/ (- (/ 1 (* a x)) 1) x))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ (- (/ a x) (/ 1 (pow x 2))) a)>
#<alt (/ (- (/ a x) (/ 1 (pow x 2))) a)>
#<alt (/ (- (/ a x) (/ 1 (pow x 2))) a)>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ 1 (* a (pow x 2))))>
#<alt (- (/ 1 x) (/ 1 (* a (pow x 2))))>
#<alt (- (/ 1 x) (/ 1 (* a (pow x 2))))>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ 1 (* a (pow x 2))))>
#<alt (- (/ 1 x) (/ 1 (* a (pow x 2))))>
#<alt (- (/ 1 x) (/ 1 (* a (pow x 2))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 (* a x))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
#<alt (/ -1 (* a (pow x 2)))>
Calls

108 calls:

TimeVariablePointExpression
11.0ms
a
@inf
(/ -1 (* a (* x x)))
2.0ms
x
@-inf
(/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a)
1.0ms
a
@-inf
(* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))
1.0ms
x
@-inf
(* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))
0.0ms
a
@-inf
(* (* a x) (+ 1 (* (* a x) 1/2)))

rewrite535.0ms (4.1%)

Memory
0.2MiB live, 804.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 534×*-lowering-*.f32
5 534×*-lowering-*.f64
4 404×/-lowering-/.f32
4 404×/-lowering-/.f64
3 824×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031210
1224201
22180201
09051184
Stop Event
1×iter limit
1×node limit
Counts
18 → 560
Calls
Call 1
Inputs
(* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))
(* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))))
(+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))
(* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))
(- (/ 1 (- 1 (* a x))) 1)
(/ 1 (- 1 (* a x)))
(- 1 (* a x))
(* a x)
(* (* a x) (+ 1 (* (* a x) 1/2)))
(+ 1 (* (* a x) 1/2))
(* (* a x) 1/2)
(/ 1 (/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a))
(- (/ 1 (/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a)) 1)
(/ (+ (/ 1 x) (/ -1 (* a (* x x)))) a)
(+ (/ 1 x) (/ -1 (* a (* x x))))
(* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))
(* a (* x x))
(/ -1 (* a (* x x)))
Outputs
(+.f64 (*.f64 a x) (*.f64 a (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(+.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) a))
(+.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 a x)))
(+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) (*.f64 a x))
(+.f64 (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 a x)) (*.f64 a x))
(fma.f64 a x (*.f64 a (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 a x (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 a x (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) a))
(fma.f64 a x (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 a x)))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 x a (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 x a (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) a))
(fma.f64 x a (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 a x)))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) a))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 a x)))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 a (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) a))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 a x)))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) a))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 a x)))
(fma.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 a x))
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(*.f64 (*.f64 a (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) a)) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) a)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) x) x)
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))

simplify558.0ms (4.3%)

Memory
10.6MiB live, 844.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 068×accelerator-lowering-fma.f32
11 068×accelerator-lowering-fma.f64
5 846×*-lowering-*.f32
5 846×*-lowering-*.f64
2 858×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05975001
119394835
259644806
082914577
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
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))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* a x)
(* a (- (* a (pow x 2)) (* -1 x)))
(* a (- (* a (- (* a (pow x 3)) (* -1 (pow x 2)))) (* -1 x)))
(* a (- (* a (- (* a (- (* a (pow x 4)) (* -1 (pow x 3)))) (* -1 (pow x 2)))) (* -1 x)))
-1
(* -1 (+ 1 (/ 1 (* a x))))
(- (* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)) 1)
(- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 2))) (+ 1 (/ 1 (* a x))))
-1
(* -1 (+ 1 (/ 1 (* a x))))
(- (* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)) 1)
(- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))) a)) 1)
(* a x)
(* x (- (* (pow a 2) x) (* -1 a)))
(* x (- (* x (- (* (pow a 3) x) (* -1 (pow a 2)))) (* -1 a)))
(* x (- (* x (- (* x (- (* (pow a 4) x) (* -1 (pow a 3)))) (* -1 (pow a 2)))) (* -1 a)))
-1
(* -1 (+ 1 (/ 1 (* a x))))
(- (* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)) 1)
(- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 2))) (+ 1 (/ 1 (* a x))))
-1
(* -1 (+ 1 (/ 1 (* a x))))
(- (* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)) 1)
(- (* -1 (/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))) x)) 1)
1
(+ 1 (* a x))
(+ 1 (* a (- (* a (pow x 2)) (* -1 x))))
(+ 1 (* a (- (* a (- (* a (pow x 3)) (* -1 (pow x 2)))) (* -1 x))))
(/ -1 (* a x))
(* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a))
(/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a)
(/ (- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 2))) (+ (/ 1 x) (/ 1 (* a (pow x 2))))) a)
(/ -1 (* a x))
(* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
1
(+ 1 (* a x))
(+ 1 (* x (- (* (pow a 2) x) (* -1 a))))
(+ 1 (* x (- (* x (- (* (pow a 3) x) (* -1 (pow a 2)))) (* -1 a))))
(/ -1 (* a x))
(* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x))
(/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x)
(/ (- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 2))) (+ (/ 1 a) (/ 1 (* (pow a 2) x)))) x)
(/ -1 (* a x))
(* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x))
(* -1 (/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* -1 (* a x)))
(+ 1 (* -1 (* a x)))
(* -1 (* a x))
(* a (- (/ 1 a) x))
(* a (- (/ 1 a) x))
(* a (- (/ 1 a) x))
(* -1 (* a x))
(* a (+ (* -1 x) (/ 1 a)))
(* a (+ (* -1 x) (/ 1 a)))
(* a (+ (* -1 x) (/ 1 a)))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* -1 (* a x)))
(+ 1 (* -1 (* a x)))
(* -1 (* a x))
(* x (- (/ 1 x) a))
(* x (- (/ 1 x) a))
(* x (- (/ 1 x) a))
(* -1 (* a x))
(* x (+ (* -1 a) (/ 1 x)))
(* x (+ (* -1 a) (/ 1 x)))
(* x (+ (* -1 a) (/ 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 (* 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
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* a x))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* -1 (* (pow a 3) x)) (* -1 (pow a 2))))
(* (pow x 2) (+ (* -1 (pow a 2)) (* x (- (* -1 (* (pow a 4) x)) (pow a 3)))))
(* (pow x 2) (+ (* -1 (pow a 2)) (* x (- (* x (- (* -1 (* (pow a 5) x)) (pow a 4))) (pow a 3)))))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (+ (/ 1 x) (/ 1 (* a (pow x 2))))))
(* x (+ a (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3)))))))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (+ (* -1 a) (* -1 (/ (+ 1 (/ 1 (* a x))) x)))))
(* -1 (* x (+ (* -1 a) (* -1 (/ (+ 1 (+ (/ 1 (* a x)) (/ 1 (* (pow a 2) (pow x 2))))) x)))))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* -1 (* a (pow x 3))) (* -1 (pow x 2))))
(* (pow a 2) (+ (* -1 (pow x 2)) (* a (- (* -1 (* a (pow x 4))) (pow x 3)))))
(* (pow a 2) (+ (* -1 (pow x 2)) (* a (- (* a (- (* -1 (* a (pow x 5))) (pow x 4))) (pow x 3)))))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (+ (/ 1 a) (/ 1 (* (pow a 2) x)))))
(* a (+ x (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2)))))))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (+ (* -1 x) (* -1 (/ (+ 1 (/ 1 (* a x))) a)))))
(* -1 (* a (+ (* -1 x) (* -1 (/ (+ 1 (+ (/ 1 (* a x)) (/ 1 (* (pow a 2) (pow x 2))))) a)))))
-1
(- (* -1 (* (pow a 2) (pow x 2))) 1)
(- (* (pow x 2) (+ (* -1 (* (pow a 3) x)) (* -1 (pow a 2)))) 1)
(- (* (pow x 2) (+ (* -1 (pow a 2)) (* x (- (* -1 (* (pow a 4) x)) (pow a 3))))) 1)
(* a x)
(* x (+ a (/ 1 (* a (pow x 2)))))
(* x (+ a (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))))
(* x (+ a (+ (/ 1 (* a (pow x 2))) (+ (/ 1 (* (pow a 2) (pow x 3))) (/ 1 (* (pow a 3) (pow x 4)))))))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 (* a (pow x 2))))))
(* -1 (* x (+ (* -1 a) (* -1 (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) (pow x 2))))))
(* -1 (* x (- (+ (* -1 a) (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) (pow x 3)))) (/ 1 (* a (pow x 2))))))
-1
(- (* -1 (* (pow a 2) (pow x 2))) 1)
(- (* (pow a 2) (+ (* -1 (* a (pow x 3))) (* -1 (pow x 2)))) 1)
(- (* (pow a 2) (+ (* -1 (pow x 2)) (* a (- (* -1 (* a (pow x 4))) (pow x 3))))) 1)
(* a x)
(* a (+ x (/ 1 (* (pow a 2) x))))
(* a (+ x (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))))
(* a (+ x (+ (/ 1 (* (pow a 2) x)) (+ (/ 1 (* (pow a 3) (pow x 2))) (/ 1 (* (pow a 4) (pow x 3)))))))
(* a x)
(* a (+ x (/ 1 (* (pow a 2) x))))
(* -1 (* a (- (* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) (pow a 2))) x)))
(* -1 (* a (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 3))) (+ x (/ 1 (* (pow a 2) x))))))
(/ -1 (* (pow a 2) (pow x 2)))
(/ (- (/ x a) (/ 1 (pow a 2))) (pow x 2))
(/ (- (/ x a) (/ 1 (pow a 2))) (pow x 2))
(/ (- (/ x a) (/ 1 (pow a 2))) (pow x 2))
(/ 1 (* a x))
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/ 1 (* a x))
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(/ -1 (* (pow a 2) (pow x 2)))
(/ (- (/ a x) (/ 1 (pow x 2))) (pow a 2))
(/ (- (/ a x) (/ 1 (pow x 2))) (pow a 2))
(/ (- (/ a x) (/ 1 (pow x 2))) (pow a 2))
(/ 1 (* a x))
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/ 1 (* a x))
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(/ -1 (* a (pow x 2)))
(/ (- x (/ 1 a)) (pow x 2))
(/ (- x (/ 1 a)) (pow x 2))
(/ (- x (/ 1 a)) (pow x 2))
(/ 1 x)
(/ (- 1 (/ 1 (* a x))) x)
(/ (- 1 (/ 1 (* a x))) x)
(/ (- 1 (/ 1 (* a x))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 (* a x)) 1) x))
(* -1 (/ (- (/ 1 (* a x)) 1) x))
(* -1 (/ (- (/ 1 (* a x)) 1) x))
(/ -1 (* a (pow x 2)))
(/ (- (/ a x) (/ 1 (pow x 2))) a)
(/ (- (/ a x) (/ 1 (pow x 2))) a)
(/ (- (/ a x) (/ 1 (pow x 2))) a)
(/ 1 x)
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(/ 1 x)
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
(/ -1 (* a (pow x 2)))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 a (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) a) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) a)) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) a) a) (/.f64 x (*.f64 a (*.f64 a a)))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) a) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) a)))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 x a)) a)) a)))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 x (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) x)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) x) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 x x)))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) x)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 x x)) (/.f64 a (*.f64 x (*.f64 x x))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) x) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x)) x)) x)))
x
(* x (+ 1 (* 1/2 (* a x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))) (*.f64 a #s(literal 1/6 binary64)))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) x)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) x) (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x x)))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) x) (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) x) (*.f64 (*.f64 a a) #s(literal -1/6 binary64))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) x)) x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 a (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) a))) (*.f64 a (*.f64 a a)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) a) a))) (*.f64 a (*.f64 a a)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(*.f64 a (*.f64 (*.f64 a a) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) a)) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) a) a) (/.f64 x (*.f64 a (*.f64 a a))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(*.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) a))) (*.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) a)) a) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 x a)) a)) a) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))) (*.f64 a #s(literal 1/6 binary64))))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a)))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) a)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(*.f64 a x)
(* a (+ x (/ 1 (* (pow a 2) x))))
(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a x)))))
(* -1 (* a (- (* -1 (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) (pow a 2))) x)))
(*.f64 a (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x x)))) (*.f64 a a))))
(* -1 (* a (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) (pow a 3))) (+ x (/ 1 (* (pow a 2) x))))))
(*.f64 a (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 a (*.f64 a a))) (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a x))))))
(/ -1 (* (pow a 2) (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 a (*.f64 a x))))
(/ (- (/ x a) (/ 1 (pow a 2))) (pow x 2))
(/.f64 (+.f64 (/.f64 x a) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (*.f64 x x))
(/ (- (/ x a) (/ 1 (pow a 2))) (pow x 2))
(/.f64 (+.f64 (/.f64 x a) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (*.f64 x x))
(/ (- (/ x a) (/ 1 (pow a 2))) (pow x 2))
(/.f64 (+.f64 (/.f64 x a) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (*.f64 x x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(/ -1 (* (pow a 2) (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 a (*.f64 a x))))
(/ (- (/ a x) (/ 1 (pow x 2))) (pow a 2))
(/.f64 (+.f64 (/.f64 a x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 a a))
(/ (- (/ a x) (/ 1 (pow x 2))) (pow a 2))
(/.f64 (+.f64 (/.f64 a x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 a a))
(/ (- (/ a x) (/ 1 (pow x 2))) (pow a 2))
(/.f64 (+.f64 (/.f64 a x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 a a))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x) a)
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ (- x (/ 1 a)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(/ (- x (/ 1 a)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(/ (- x (/ 1 a)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (* a x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(/ (- 1 (/ 1 (* a x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(/ (- 1 (/ 1 (* a x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 (* a x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(* -1 (/ (- (/ 1 (* a x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(* -1 (/ (- (/ 1 (* a x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ (- (/ a x) (/ 1 (pow x 2))) a)
(/.f64 (+.f64 (/.f64 a x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) a)
(/ (- (/ a x) (/ 1 (pow x 2))) a)
(/.f64 (+.f64 (/.f64 a x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) a)
(/ (- (/ a x) (/ 1 (pow x 2))) a)
(/.f64 (+.f64 (/.f64 a x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) a)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(- (/ 1 x) (/ 1 (* a (pow x 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a x))) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 (* a x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))) (*.f64 a #s(literal 1/6 binary64))))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))) (*.f64 a #s(literal 1/6 binary64))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/24 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/6 binary64)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (*.f64 (*.f64 a a) #s(literal -1/24 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (*.f64 (*.f64 a a) #s(literal -1/24 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))) (*.f64 a #s(literal 1/6 binary64))))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))) (*.f64 a #s(literal 1/6 binary64))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) a)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(*.f64 a (*.f64 a (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) a) (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) a) a)))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(*.f64 a (*.f64 a (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) a) (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) a) a)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a x))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) a) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) a) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) a)))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))
(/ -1 (* a (pow x 2)))
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))

eval441.0ms (3.4%)

Memory
13.5MiB live, 342.0MiB allocated
Compiler

Compiled 25 215 to 2 802 computations (88.9% saved)

prune137.0ms (1%)

Memory
3.0MiB live, 273.4MiB allocated
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New1 10571 112
Fresh448
Picked325
Done156
Total1 113181 131
Accuracy
100.0%
Counts
1 131 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(/.f64 (fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
66.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
17.7%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
✓49.5%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
49.7%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
✓50.6%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
66.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) (*.f64 a x))
66.8%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) a) x)
✓67.6%
(*.f64 (*.f64 a x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
✓67.8%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
16.9%
(*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
56.1%
(*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))))
66.6%
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))))))
64.7%
(*.f64 a (+.f64 x (*.f64 a (*.f64 x x))))
✓67.8%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
✓17.4%
#s(literal 0 binary64)
35.3%
#s(literal -1 binary64)
Compiler

Compiled 895 to 326 computations (63.6% saved)

regimes55.0ms (0.4%)

Memory
-1.1MiB live, 118.6MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(*.f64 a (+.f64 x (*.f64 a (*.f64 x x))))
(*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) a) x)
(*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 0 binary64)) (-.f64 (*.f64 a x) #s(literal 0 binary64)))
(*.f64 x (+.f64 a (*.f64 x (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))) a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
(*.f64 (*.f64 a x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) (*.f64 a x))
(/.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 0 binary64)) (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.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 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

13.0ms
(*.f64 a x)
11.0ms
a
10.0ms
x
9.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
8.0ms
(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)

regimes33.0ms (0.2%)

Memory
-15.7MiB live, 62.4MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(*.f64 a (+.f64 x (*.f64 a (*.f64 x x))))
(*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) a) x)
(*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 0 binary64)) (-.f64 (*.f64 a x) #s(literal 0 binary64)))
(*.f64 x (+.f64 a (*.f64 x (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))) a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
(*.f64 (*.f64 a x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) (*.f64 a x))
(/.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 0 binary64)) (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (*.f64 x (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 (*.f64 a x) #s(literal 2 binary64)))))
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x #s(literal 1/24 binary64))))))))))
Outputs
#s(literal -1 binary64)
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64))))))))))
Calls

3 calls:

11.0ms
a
10.0ms
(*.f64 a x)
9.0ms
x
Results
AccuracySegmentsBranch
81.7%2a
79.6%2x
99.4%2(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(*.f64 a (+.f64 x (*.f64 a (*.f64 x x))))
(*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) a) x)
(*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 0 binary64)) (-.f64 (*.f64 a x) #s(literal 0 binary64)))
(*.f64 x (+.f64 a (*.f64 x (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x x)))) a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
(*.f64 (*.f64 a x) (+.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
Outputs
#s(literal -1 binary64)
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))
Calls

1 calls:

7.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
99.4%2(*.f64 a x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Memory
-20.5MiB live, 18.5MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(*.f64 a (+.f64 x (*.f64 a (*.f64 x x))))
(*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) a) x)
(*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 0 binary64)) (-.f64 (*.f64 a x) #s(literal 0 binary64)))
(*.f64 x (+.f64 a (*.f64 x (-.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 a (*.f64 a #s(literal 1 binary64)))))))
Outputs
#s(literal -1 binary64)
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
Calls

1 calls:

7.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
99.4%2(*.f64 a x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(*.f64 a (+.f64 x (*.f64 a (*.f64 x x))))
(*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)))
Outputs
#s(literal -1 binary64)
(*.f64 a x)
Calls

1 calls:

4.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
99.0%2(*.f64 a x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 0 binary64)
Calls

2 calls:

2.0ms
a
2.0ms
x
Results
AccuracySegmentsBranch
44.1%2x
45.3%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
a
1.0ms
x
Results
AccuracySegmentsBranch
35.3%1x
35.3%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1000.0815114057035
-0.6380065943620815
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1000.0815114057035
-0.6380065943620815
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1000.0815114057035
-0.6380065943620815
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1000.0815114057035
-0.6380065943620815
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch6.0ms (0%)

Memory
-30.9MiB live, 7.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
-7.774772984902719e-95
-5.527690847188426e-95
Samples
2.0ms48×0valid
Compiler

Compiled 35 to 33 computations (5.7% saved)

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

simplify8.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
12×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03893
16093
Stop Event
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -1000 binary64)) #s(literal -1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))))))
(if (<=.f64 (*.f64 a x) #s(literal -1000 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))))
(if (<=.f64 (*.f64 a x) #s(literal -1000 binary64)) #s(literal -1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))))
(if (<=.f64 (*.f64 a x) #s(literal -1000 binary64)) #s(literal -1 binary64) (*.f64 a x))
(if (<=.f64 a #s(literal -4208588308330709/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
#s(literal -1 binary64)
Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -1000 binary64)) #s(literal -1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))))))
(if (<=.f64 (*.f64 a x) #s(literal -1000 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))))
(if (<=.f64 (*.f64 a x) #s(literal -1000 binary64)) #s(literal -1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))))
(if (<=.f64 (*.f64 a x) #s(literal -1000 binary64)) #s(literal -1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))))
(if (<=.f64 (*.f64 a x) #s(literal -1000 binary64)) #s(literal -1 binary64) (*.f64 a x))
(if (<=.f64 a #s(literal -4208588308330709/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
#s(literal -1 binary64)

soundness3.2s (24.7%)

Memory
45.9MiB live, 3 819.4MiB allocated
Rules
13 520×accelerator-lowering-fma.f32
13 520×accelerator-lowering-fma.f64
11 068×accelerator-lowering-fma.f32
11 068×accelerator-lowering-fma.f64
10 392×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034221
1237167
22839127
09502119
066
1146
2176
0174
03423262
111383230
235903096
083482980
063648
1195648
2526636
31050636
41650636
51848636
61875636
71895636
81909636
91912636
101912636
112607628
123082628
134049628
144050628
154050628
164178628
174178628
186095620
196319620
206361620
216375620
226375620
236551620
246889620
256889620
267463620
07463520
032160
1196160
21802160
09489148
05975001
119394835
259644806
082914577
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 328 to 204 computations (37.8% saved)

preprocess369.0ms (2.8%)

Memory
-367.6MiB live, 169.3MiB allocated
Remove

(sort a x)

Compiler

Compiled 242 to 112 computations (53.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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