expax (section 3.5)

Time bar (total: 9.8s)

analyze32.0ms (0.3%)

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%6.3%0%0%0%6
75.9%68.7%21.9%9.5%0%0%0%7
80%68.7%17.2%14.1%0%0%0%8
86%71.8%11.7%16.5%0%0%0%9
88.9%71.8%9%19.2%0%0%0%10
92.4%73.4%6%20.6%0%0%0%11
94.1%73.4%4.6%22%0%0%0%12
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 3.0ms (27.9% of total)
ival-mult: 3.0ms (27.9% of total)
ival-sub: 2.0ms (18.6% of total)
const: 1.0ms (9.3% of total)
ival->: 1.0ms (9.3% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (14.4%)

Results
893.0ms5301×1valid
227.0ms2955×0valid
21.0ms302×0precondition
Precisions
Click to see histograms. Total time spent on operations: 701.0ms
ival-exp: 300.0ms (42.8% of total)
ival-mult: 151.0ms (21.5% of total)
ival-sub: 112.0ms (16% of total)
backward-pass: 71.0ms (10.1% of total)
ival->: 51.0ms (7.3% of total)
const: 16.0ms (2.3% of total)
Bogosity

preprocess28.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
132×sum3-define
96×fma-define
78×fmsub-define
44×sub-neg
40×exp-sum
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01930
15330
28630
312930
418730
523330
629330
740030
843030
945530
1047430
1147530
064
1164
2204
3214
0214
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)
(expm1 (* a x))
(- (exp (* (neg a) x)) 1)
(expm1 (fnmsub a x 0))
(- (exp (* a (neg x))) 1)
(expm1 (fnmsub a x 0))
(neg (- (exp (* (neg a) x)) 1))
(neg (expm1 (fnmsub a x 0)))
(neg (- (exp (* a (neg x))) 1))
(neg (expm1 (fnmsub a x 0)))
(- (exp (* x a)) 1)
(expm1 (* a x))
Symmetry

(sort a x)

explain112.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-x
00-0-(*.f64 a x)
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-a
Results
67.0ms330×1valid
14.0ms182×0valid
Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-exp: 16.0ms (42.6% of total)
ival-mult: 7.0ms (18.7% of total)
ival-sub: 7.0ms (18.7% of total)
backward-pass: 6.0ms (16% of total)
const: 1.0ms (2.7% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.9%
(-.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)

simplify5.0ms (0.1%)

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×fast-exp-define
6×exp-lowering-exp.f64
4×pow-lowering-pow.f64
4×pow-lowering-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
11623
22023
32123
02123
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)

localize76.0ms (0.8%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(exp.f64 (*.f64 a x))
✓accuracy57.9%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(expm1.f64 (*.f64 a x))
Results
53.0ms165×1valid
11.0ms91×0valid
Compiler

Compiled 28 to 8 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-exp: 17.0ms (36.5% of total)
compiled-spec: 15.0ms (32.2% of total)
ival-sub: 5.0ms (10.7% of total)
backward-pass: 5.0ms (10.7% of total)
ival-mult: 4.0ms (8.6% of total)
const: 1.0ms (2.1% of total)

series4.0ms (0%)

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)

rewrite334.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
2778×/-lowering-/.f32
2778×/-lowering-/.f64
2514×*-lowering-*.f32
2514×*-lowering-*.f64
1974×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12915
215715
3143115
0843615
Stop Event
1×iter limit
1×node limit
Counts
4 → 491
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 (expm1.f64 (*.f64 a x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 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 x)))
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (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 (fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (*.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (*.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #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 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (+.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 (neg.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 9 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))) (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))))))
(/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.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))))) (*.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))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.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))))) #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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) #s(literal -1 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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) #s(literal -1 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 x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 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 x) #s(literal 4 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))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 9 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1 binary64)))
(exp.f64 (*.f64 a (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #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 (/.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 a) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 a) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 a) (*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 a) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 x) (*.f64 a #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 a #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x (/.f64 a #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 (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64)))) (exp.f64 (*.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)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify290.0ms (3%)

Algorithm
1×egg-herbie
Rules
8366×fma-define
7692×fma-lowering-fma.f32
7692×fma-lowering-fma.f64
2568×*-lowering-*.f32
2568×*-lowering-*.f64
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
063570
1203532
2661526
31542526
42278526
52638526
62866522
72980522
82996522
92999522
102999512
115566512
126811508
08165508
Stop Event
1×iter limit
1×node limit
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 a (*.f64 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 (*.f64 a 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 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #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 a (*.f64 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 (*.f64 a x) #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 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #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 a (*.f64 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 (*.f64 a 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 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #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 a (*.f64 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 (*.f64 a x) #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 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #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 a (*.f64 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 (*.f64 a x) #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 a (*.f64 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 (*.f64 a x) #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))

eval72.0ms (0.7%)

Compiler

Compiled 22508 to 866 computations (96.2% saved)

prune76.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New61910629
Fresh000
Picked022
Done000
Total61912631
Accuracy
100.0%
Counts
631 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
▶25.2%
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
▶25.3%
(-.f64 (+.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 (*.f64 a x) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
▶24.1%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
✓57.9%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
22.5%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
99.6%
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 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))))))))
67.3%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
61.8%
(*.f64 a (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #s(literal 1/24 binary64)))))))
65.8%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
▶66.4%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 388 to 232 computations (40.2% saved)

simplify185.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 (*.f64 a x) #s(literal 1/6 binary64))))))
✓cost-diff0
(+.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 (*.f64 a x) #s(literal 1/6 binary64)))))))
✓cost-diff256
(-.f64 (+.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 (*.f64 a x) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))))
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))) #s(literal 1 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 2 binary64))
✓cost-diff0
(*.f64 a (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
Rules
2826×+-lowering-+.f64
2826×+-lowering-+.f32
2416×*-lowering-*.f32
2416×*-lowering-*.f64
1832×fnmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029238
196213
2316200
31709198
42754198
56180198
08067198
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (exp (* a (* x 2))) 1) (+ (exp (* a x)) 1))
(- (exp (* a (* x 2))) 1)
(* a (* x 2))
a
(* x 2)
x
2
(+ (exp (* a x)) 1)
(exp (* a x))
(* a x)
1
(* a x)
a
x
(- (+ (* a x) 1) 1)
(+ (* a x) 1)
(* a x)
a
x
1
(- (+ 1 (* a (* x (+ 1 (* (* a x) 1/2))))) 1)
(+ 1 (* a (* x (+ 1 (* (* a x) 1/2)))))
1
(* a (* x (+ 1 (* (* a x) 1/2))))
a
(* x (+ 1 (* (* a x) 1/2)))
x
(+ 1 (* (* a x) 1/2))
(* (* a x) 1/2)
(* a x)
1/2
(- (+ 1 (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))) 1)
(+ 1 (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))))
1
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))
(* a x)
a
x
(+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))
(* (* a x) (+ 1/2 (* (* a x) 1/6)))
(+ 1/2 (* (* a x) 1/6))
1/2
(* (* a x) 1/6)
1/6
Outputs
(/ (- (exp (* a (* x 2))) 1) (+ (exp (* a x)) 1))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(- (exp (* a (* x 2))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(* a (* x 2))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
a
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(+ (exp (* a x)) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
1
#s(literal 1 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)
(- (+ 1 (* a (* x (+ 1 (* (* a x) 1/2))))) 1)
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(+ 1 (* a (* x (+ 1 (* (* a x) 1/2)))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
1
#s(literal 1 binary64)
(* a (* x (+ 1 (* (* a x) 1/2))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
a
(* x (+ 1 (* (* a x) 1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a #s(literal 1/2 binary64)))))
x
(+ 1 (* (* a x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a #s(literal 1/2 binary64))))
(* (* a x) 1/2)
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(* a x)
(*.f64 a x)
1/2
#s(literal 1/2 binary64)
(- (+ 1 (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))) 1)
(*.f64 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))))))))
(+ 1 (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))))
(+.f64 #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) #s(literal 1/6 binary64)))))))))
1
#s(literal 1 binary64)
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))
(*.f64 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))))))))
(* a x)
(*.f64 a x)
a
x
(+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
(* (* a x) (+ 1/2 (* (* a x) 1/6)))
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))
(+ 1/2 (* (* a x) 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* a x) 1/6)
(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize262.0ms (2.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
✓accuracy99.9%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))
✓accuracy99.6%
(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
✓accuracy57.9%
(-.f64 (+.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 (*.f64 a x) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓accuracy97.0%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓accuracy57.9%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (*.f64 a x) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 a x)
✓accuracy57.9%
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 (*.f64 a x))
✓accuracy100.0%
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
✓accuracy99.9%
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
Results
165.0ms165×1valid
38.0ms91×0valid
Compiler

Compiled 238 to 29 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-mult: 27.0ms (24.3% of total)
backward-pass: 17.0ms (15.3% of total)
compiled-spec: 16.0ms (14.4% of total)
ival-add: 15.0ms (13.5% of total)
ival-exp: 15.0ms (13.5% of total)
ival-sub: 9.0ms (8.1% of total)
...c/correct-round.rkt:119:19: 8.0ms (7.2% of total)
ival-div: 3.0ms (2.7% of total)
const: 1.0ms (0.9% of total)

series31.0ms (0.3%)

Counts
19 → 444
Calls
Call 1
Inputs
#<alt (/ (- (exp (* a (* x 2))) 1) (+ (exp (* a x)) 1))>
#<alt (- (exp (* a (* x 2))) 1)>
#<alt (* a (* x 2))>
#<alt (* x 2)>
#<alt (* a x)>
#<alt (- (+ (* a x) 1) 1)>
#<alt (+ (* a x) 1)>
#<alt (- (+ 1 (* a (* x (+ 1 (* (* a x) 1/2))))) 1)>
#<alt (+ 1 (* a (* x (+ 1 (* (* a x) 1/2)))))>
#<alt (* a (* x (+ 1 (* (* a x) 1/2))))>
#<alt (* x (+ 1 (* (* a x) 1/2)))>
#<alt (- (+ 1 (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))) 1)>
#<alt (+ 1 (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))))>
#<alt (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))>
#<alt (exp (* a x))>
#<alt (+ (exp (* a x)) 1)>
#<alt (* (* a x) 1/2)>
#<alt (* (* a x) 1/6)>
#<alt (* (* a x) (+ 1/2 (* (* a x) 1/6)))>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* 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)) (+ (/ 1 (pow a 2)) (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 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 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* 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)) (+ (/ 1 (pow x 2)) (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt 1>
#<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 (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))>
#<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 (* 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)) (+ (/ 1 (pow x 3)) (/ 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* 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 (* 1/2 (* 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 (* 1/6 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* 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))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<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))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
Calls

111 calls:

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

rewrite584.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
3322×fma-lowering-fma.f32
3322×fma-lowering-fma.f64
2350×*-lowering-*.f32
2350×*-lowering-*.f64
1818×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029173
1218147
22226143
08318143
Stop Event
1×iter limit
1×node limit
Counts
19 → 594
Calls
Call 1
Inputs
(/ (- (exp (* a (* x 2))) 1) (+ (exp (* a x)) 1))
(- (exp (* a (* x 2))) 1)
(* a (* x 2))
(* x 2)
(* a x)
(- (+ (* a x) 1) 1)
(+ (* a x) 1)
(- (+ 1 (* a (* x (+ 1 (* (* a x) 1/2))))) 1)
(+ 1 (* a (* x (+ 1 (* (* a x) 1/2)))))
(* a (* x (+ 1 (* (* a x) 1/2))))
(* x (+ 1 (* (* a x) 1/2)))
(- (+ 1 (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))) 1)
(+ 1 (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))))
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))
(exp (* a x))
(+ (exp (* a x)) 1)
(* (* a x) 1/2)
(* (* a x) 1/6)
(* (* a x) (+ 1/2 (* (* a x) 1/6)))
Outputs
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (/.f64 (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 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))))))
(+.f64 (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal 1 binary64))))
(+.f64 (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 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))
(+.f64 (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 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.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 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 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)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (+.f64 (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 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(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 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(expm1.f64 (*.f64 a x))
(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 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.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 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))))
(/.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))))
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(fma.f64 (*.f64 x #s(literal 1/2 binary64)) a (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) a (*.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) x) a (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 (*.f64 #s(literal 1 binary64) 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)))
(fma.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) a) x (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 a x) a) (*.f64 x #s(literal 1/6 binary64)) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x (*.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x))))) (*.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/216 binary64)) (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (-.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 a x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/216 binary64))) (*.f64 a x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 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 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 a x))
(*.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) a)
(*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 a x))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) a) x)

simplify303.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
5110×*-lowering-*.f32
5110×*-lowering-*.f64
3406×+-lowering-+.f64
3406×+-lowering-+.f32
1458×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02944148
110443608
237973530
081643530
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
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(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
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(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* 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)) (+ (/ 1 (pow a 2)) (/ x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 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 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* 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)) (+ (/ 1 (pow x 2)) (/ a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
1
(+ 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)))))))
(* 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)) (+ (/ 1 (pow a 3)) (/ 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 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
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)))))))
(* 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)) (+ (/ 1 (pow x 3)) (/ 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 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
1
(+ 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))
2
(+ 2 (* a x))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 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 (exp (* a x)))
2
(+ 2 (* a x))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ 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 (exp (* 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))
(* 1/2 (* 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 (* a x))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* 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))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 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))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* 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))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 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))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/12 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/12 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5/12 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 5/12 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/2 binary64))))))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 5/12 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/2 binary64))))) (*.f64 a #s(literal -1/2 binary64))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 5/12 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/2 binary64)))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 a x) #s(literal 1 binary64)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(*.f64 a (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 x x))) a)) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 a x) #s(literal 1 binary64))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 a x) #s(literal 1 binary64)))) (*.f64 (*.f64 a a) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4/3 binary64))))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 a x) #s(literal 1 binary64)))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(*.f64 x (+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 4/3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(*.f64 x (+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 4/3 binary64))))))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
1
#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 a x) #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
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))))
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#s(literal 1 binary64)
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#s(literal 2 binary64)
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2
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(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(*.f64 a (+.f64 (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 x (*.f64 (*.f64 a (*.f64 a 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))))
(*.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))))
(*.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 x (*.f64 (*.f64 a (*.f64 a 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))))
(*.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))))
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))
(* 1/2 (* a x))
(*.f64 x (*.f64 a #s(literal 1/2 binary64)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(*.f64 a (+.f64 (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(*.f64 a (+.f64 (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(*.f64 a (+.f64 (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 x (*.f64 (*.f64 a (*.f64 a 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))))
(*.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))))
(*.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 x (*.f64 (*.f64 a (*.f64 a 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))))
(*.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))))
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))

eval178.0ms (1.8%)

Compiler

Compiled 33097 to 3099 computations (90.6% saved)

prune157.0ms (1.6%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New1427131440
Fresh145
Picked235
Done022
Total1430221452
Accuracy
100.0%
Counts
1452 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(fma.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x #s(literal 0 binary64))
27.5%
(/.f64 (-.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 0 binary64)) (*.f64 a x))
▶66.2%
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
▶99.8%
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
65.3%
(/.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))))
▶24.8%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓25.2%
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
24.1%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))) #s(literal 1 binary64))
✓25.3%
(-.f64 (+.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 (*.f64 a x) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
24.2%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
5.0%
(-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓57.9%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶22.5%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
24.1%
(+.f64 (+.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
25.2%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
66.2%
(*.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))))
▶45.1%
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
67.3%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
61.8%
(*.f64 a (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #s(literal 1/24 binary64)))))))
65.8%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓66.4%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 671 to 384 computations (42.8% saved)

simplify164.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 a x) #s(literal -1 binary64))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1 binary64))))
✓cost-diff512
(/.f64 (+.f64 (*.f64 a x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓cost-diff768
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
✓cost-diff0
(+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x))
✓cost-diff0
(*.f64 x x)
✓cost-diff128
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
✓cost-diff128
(*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
Rules
3080×*-lowering-*.f32
3080×*-lowering-*.f64
2222×sum4-define
2108×+-lowering-+.f64
2108×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041281
1120244
2324238
31123224
44399217
08454217
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (exp (* (* a (* x 2)) 3)) 1) (* (+ 1 (exp (* a x))) (+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1))))
(- (exp (* (* a (* x 2)) 3)) 1)
(* (* a (* x 2)) 3)
(* a (* x 2))
a
(* x 2)
x
2
3
(* (+ 1 (exp (* a x))) (+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1)))
(+ 1 (exp (* a x)))
1
(exp (* a x))
(* a x)
(+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1))
(exp (* a (* 2 (* x 2))))
(* a (* 2 (* x 2)))
(* 2 (* x 2))
(+ (exp (* a (* x 2))) 1)
(exp (* a (* x 2)))
(- 1 1)
1
(* (* x x) (+ (* a (* a 1/2)) (/ a x)))
(* x x)
x
(+ (* a (* a 1/2)) (/ a x))
(* a (* a 1/2))
a
(* a 1/2)
1/2
(/ a x)
(/ (* (+ (* a x) 2) (* a x)) (+ (* a x) 2))
(* (+ (* a x) 2) (* a x))
(+ (* a x) 2)
(* a x)
a
x
2
(- (/ 1 (/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1))) 1)
(/ 1 (/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1)))
1
(/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1))
(+ (* a x) -1)
(* a x)
a
x
-1
(+ (* x (* a (* a x))) -1)
(* x (* a (* a x)))
(* a (* a x))
Outputs
(/ (- (exp (* (* a (* x 2)) 3)) 1) (* (+ 1 (exp (* a x))) (+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)))))))
(- (exp (* (* a (* x 2)) 3)) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))
(* (* a (* x 2)) 3)
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* a (* x 2))
(*.f64 #s(literal 2 binary64) (*.f64 a x))
a
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3
#s(literal 3 binary64)
(* (+ 1 (exp (* a x))) (+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x))))))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
1
#s(literal 1 binary64)
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1))
(+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)))))
(exp (* a (* 2 (* x 2))))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(* a (* 2 (* x 2)))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* 2 (* x 2))
(*.f64 x #s(literal 4 binary64))
(+ (exp (* a (* x 2))) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x))))
(exp (* a (* x 2)))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)))
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(* (* x x) (+ (* a (* a 1/2)) (/ a x)))
(*.f64 a (+.f64 (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))
(* x x)
(*.f64 x x)
x
(+ (* a (* a 1/2)) (/ a x))
(+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x))
(* a (* a 1/2))
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
a
(* a 1/2)
(*.f64 a #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ a x)
(/.f64 a x)
(/ (* (+ (* a x) 2) (* a x)) (+ (* a x) 2))
(*.f64 a x)
(* (+ (* a x) 2) (* a x))
(*.f64 x (*.f64 a (+.f64 #s(literal 2 binary64) (*.f64 a x))))
(+ (* a x) 2)
(+.f64 #s(literal 2 binary64) (*.f64 a x))
(* a x)
(*.f64 a x)
a
x
2
#s(literal 2 binary64)
(- (/ 1 (/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(/ 1 (/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
1
#s(literal 1 binary64)
(/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(+ (* a x) -1)
(+.f64 (*.f64 a x) #s(literal -1 binary64))
(* a x)
(*.f64 a x)
a
x
-1
#s(literal -1 binary64)
(+ (* x (* a (* a x))) -1)
(+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 x (*.f64 a x))))
(* x (* a (* a x)))
(*.f64 a (*.f64 x (*.f64 a x)))
(* a (* a x))
(*.f64 a (*.f64 a x))

localize342.0ms (3.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 a (*.f64 a x))
✓accuracy93.5%
(*.f64 x (*.f64 a (*.f64 a x)))
✓accuracy83.9%
(/.f64 (+.f64 (*.f64 a x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1 binary64)))
✓accuracy57.9%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓accuracy83.7%
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 a #s(literal 1/2 binary64))
✓accuracy93.5%
(+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x))
✓accuracy69.8%
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
✓accuracy100.0%
(exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
✓accuracy99.8%
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
✓accuracy99.7%
(*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
Results
160.0ms124×1valid
67.0ms41×2valid
47.0ms91×0valid
Compiler

Compiled 314 to 40 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 39.0ms (28.1% of total)
backward-pass: 21.0ms (15.1% of total)
ival-exp: 20.0ms (14.4% of total)
ival-div: 17.0ms (12.2% of total)
ival-add: 16.0ms (11.5% of total)
compiled-spec: 16.0ms (11.5% of total)
ival-sub: 7.0ms (5% of total)
const: 2.0ms (1.4% of total)

series52.0ms (0.5%)

Counts
22 → 456
Calls
Call 1
Inputs
#<alt (* (* a (* x 2)) 3)>
#<alt (* 2 (* x 2))>
#<alt (/ (- (exp (* (* a (* x 2)) 3)) 1) (* (+ 1 (exp (* a x))) (+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1))))>
#<alt (- (exp (* (* a (* x 2)) 3)) 1)>
#<alt (- 1 1)>
#<alt (* (* x x) (+ (* a (* a 1/2)) (/ a x)))>
#<alt (* x x)>
#<alt (+ (* a (* a 1/2)) (/ a x))>
#<alt (* a (* a 1/2))>
#<alt (/ (* (+ (* a x) 2) (* a x)) (+ (* a x) 2))>
#<alt (* (+ (* a x) 2) (* a x))>
#<alt (+ (* a x) 2)>
#<alt (* a x)>
#<alt (/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1))>
#<alt (/ 1 (/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1)))>
#<alt (- (/ 1 (/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1))) 1)>
#<alt (+ (* a x) -1)>
#<alt (exp (* a (* 2 (* x 2))))>
#<alt (* (+ 1 (exp (* a x))) (+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1)))>
#<alt (* a 1/2)>
#<alt (* x (* a (* a x)))>
#<alt (* a (* a x))>
Outputs
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
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#<alt (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))>
#<alt (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))>
#<alt (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))>
#<alt (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))>
#<alt (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))>
#<alt (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
Calls

114 calls:

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

rewrite381.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3424×*-lowering-*.f32
3424×*-lowering-*.f64
2398×fma-lowering-fma.f32
2398×fma-lowering-fma.f64
2014×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041202
1255135
22265134
08840134
Stop Event
1×iter limit
1×node limit
Counts
22 → 591
Calls
Call 1
Inputs
(* (* a (* x 2)) 3)
(* 2 (* x 2))
(/ (- (exp (* (* a (* x 2)) 3)) 1) (* (+ 1 (exp (* a x))) (+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1))))
(- (exp (* (* a (* x 2)) 3)) 1)
(- 1 1)
(* (* x x) (+ (* a (* a 1/2)) (/ a x)))
(* x x)
(+ (* a (* a 1/2)) (/ a x))
(* a (* a 1/2))
(/ (* (+ (* a x) 2) (* a x)) (+ (* a x) 2))
(* (+ (* a x) 2) (* a x))
(+ (* a x) 2)
(* a x)
(/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1))
(/ 1 (/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1)))
(- (/ 1 (/ (+ (* a x) -1) (+ (* x (* a (* a x))) -1))) 1)
(+ (* a x) -1)
(exp (* a (* 2 (* x 2))))
(* (+ 1 (exp (* a x))) (+ (exp (* a (* 2 (* x 2)))) (+ (exp (* a (* x 2))) 1)))
(* a 1/2)
(* x (* a (* a x)))
(* a (* a x))
Outputs
(log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))))
(+.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) (*.f64 a (*.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))) #s(literal 0 binary64))
(+.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))) (*.f64 a (*.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 x #s(literal 6 binary64))))
(+.f64 (log.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (log.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 a #s(literal 3 binary64)))
(*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 3 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 a (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 a x) #s(literal 6 binary64))
(*.f64 (*.f64 x #s(literal 6 binary64)) a)
(*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a x)) #s(literal 2 binary64))
(*.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) x)
(+.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.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 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.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 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (neg.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.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 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (neg.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 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 4 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (neg.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) #s(literal -2 binary64))) (+.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 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 6 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (neg.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))))
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(/.f64 (+.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))))) (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))))) (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))))))
(/.f64 (+.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (*.f64 (expm1.f64 (*.f64 a (*.f64 x #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 4 binary64))))))) (*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (+.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)) (expm1.f64 (*.f64 a x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 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)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (+.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)) (expm1.f64 (*.f64 a x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 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)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (-.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 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.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 4 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))))
(*.f64 a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(exp.f64 (*.f64 (log.f64 (*.f64 a x)) #s(literal 2 binary64)))
(pow.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 a (*.f64 x (*.f64 a x)))
(*.f64 a (*.f64 (*.f64 a x) x))
(*.f64 x (*.f64 a (*.f64 a x)))
(*.f64 (*.f64 a x) (*.f64 a x))
(*.f64 (*.f64 x x) (*.f64 a a))
(*.f64 (*.f64 a (*.f64 a x)) x)
(*.f64 (*.f64 a a) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 a x)) a)
(*.f64 (*.f64 (*.f64 a x) x) a)
(*.f64 a (*.f64 a x))
(*.f64 x (*.f64 a a))
(*.f64 (*.f64 a x) a)
(*.f64 (*.f64 a a) x)

simplify325.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
4618×*-lowering-*.f32
4618×*-lowering-*.f64
2784×+-lowering-+.f64
2784×+-lowering-+.f32
1408×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04334172
116923686
265563614
083303614
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* a x)
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))))) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 1/2 (* (pow x 2) (+ (* 2 x) (* 4 x)))) (+ (* 1/2 (pow x 3)) (+ (* 2 (+ (* 4/3 (pow x 3)) (* 32/3 (pow x 3)))) (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (+ (* 1/6 (* (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)))))))))))))))) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))))) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(* a x)
(* x (+ a (* x (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))))) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (+ (* 6 (pow a 3)) (* x (- (* 9 (pow a 4)) (+ (* 1/6 (* a (+ (* 1/2 (* (pow a 2) (+ (* 2 a) (* 4 a)))) (+ (* 1/2 (pow a 3)) (+ (* 2 (+ (* 4/3 (pow a 3)) (* 32/3 (pow a 3)))) (* a (+ (* 2 (pow a 2)) (* 8 (pow a 2))))))))) (+ (* 1/6 (* (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)))))))))))))))) (+ (* 1/6 (* a (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))))) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(* 6 (* a x))
(* a (+ (* 6 x) (* 18 (* a (pow x 2)))))
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3)))))))
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4)))))))))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 6 (* a x))
(* x (+ (* 6 a) (* 18 (* (pow a 2) x))))
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* 36 (* (pow a 3) x))))))
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* x (+ (* 36 (pow a 3)) (* 54 (* (pow a 4) x))))))))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 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)))
(* 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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ a x)
(* a (+ (* 1/2 a) (/ 1 x)))
(* a (+ (* 1/2 a) (/ 1 x)))
(* a (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 (* a x))))
(* (pow a 2) (+ 1/2 (/ 1 (* a x))))
(* (pow a 2) (+ 1/2 (/ 1 (* a x))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 (* a x))))
(* (pow a 2) (+ 1/2 (/ 1 (* a x))))
(* (pow a 2) (+ 1/2 (/ 1 (* a x))))
(/ a x)
(/ (+ a (* 1/2 (* (pow a 2) x))) x)
(/ (+ a (* 1/2 (* (pow a 2) x))) x)
(/ (+ a (* 1/2 (* (pow a 2) x))) x)
(* 1/2 (pow a 2))
(+ (* 1/2 (pow a 2)) (/ a x))
(+ (* 1/2 (pow a 2)) (/ a x))
(+ (* 1/2 (pow a 2)) (/ a x))
(* 1/2 (pow a 2))
(+ (* 1/2 (pow a 2)) (/ a x))
(+ (* 1/2 (pow a 2)) (/ a x))
(+ (* 1/2 (pow a 2)) (/ a x))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* 1/2 (pow a 2))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* 2 (* a x))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* 2 (* a x))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* 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 (* -1 (* a x)))
(+ 1 (* a (+ (* -1 x) (* a (pow x 2)))))
(+ 1 (* a (+ (* -1 x) (* a (- (* -1 (* a (pow x 3))) (* -1 (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)) (* -1 (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
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* a x)
(* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))
(* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))
(* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))
(* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))
(* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
-1
(- (* a x) 1)
(- (* a x) 1)
(- (* a x) 1)
(* a x)
(* a (- x (/ 1 a)))
(* a (- x (/ 1 a)))
(* a (- x (/ 1 a)))
(* a x)
(* -1 (* a (+ (* -1 x) (/ 1 a))))
(* -1 (* a (+ (* -1 x) (/ 1 a))))
(* -1 (* a (+ (* -1 x) (/ 1 a))))
-1
(- (* a x) 1)
(- (* a x) 1)
(- (* a x) 1)
(* a x)
(* x (- a (/ 1 x)))
(* x (- a (/ 1 x)))
(* x (- a (/ 1 x)))
(* a x)
(* -1 (* x (+ (* -1 a) (/ 1 x))))
(* -1 (* x (+ (* -1 a) (/ 1 x))))
(* -1 (* x (+ (* -1 a) (/ 1 x))))
1
(+ 1 (* 4 (* a x)))
(+ 1 (* a (+ (* 4 x) (* 8 (* a (pow x 2))))))
(+ 1 (* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* 32/3 (* a (pow x 3))))))))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
1
(+ 1 (* 4 (* a x)))
(+ 1 (* x (+ (* 4 a) (* 8 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* 32/3 (* (pow a 3) x)))))))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
(exp (* 4 (* a x)))
6
(+ 6 (* a (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))
(+ 6 (* a (+ (* 2 (+ (* 2 x) (* 4 x))) (+ (* 3 x) (* a (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))))))
(+ 6 (* a (+ (* 2 (+ (* 2 x) (* 4 x))) (+ (* 3 x) (* a (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (+ (* a (+ (* 1/2 (* (pow x 2) (+ (* 2 x) (* 4 x)))) (+ (* 1/2 (pow x 3)) (+ (* 2 (+ (* 4/3 (pow x 3)) (* 32/3 (pow x 3)))) (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))))) (* x (+ (* 2 x) (* 4 x)))))))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
6
(+ 6 (* x (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))
(+ 6 (* x (+ (* 2 (+ (* 2 a) (* 4 a))) (+ (* 3 a) (* x (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))))))
(+ 6 (* x (+ (* 2 (+ (* 2 a) (* 4 a))) (+ (* 3 a) (* x (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (+ (* a (+ (* 2 a) (* 4 a))) (* x (+ (* 1/2 (* (pow a 2) (+ (* 2 a) (* 4 a)))) (+ (* 1/2 (pow a 3)) (+ (* 2 (+ (* 4/3 (pow a 3)) (* 32/3 (pow a 3)))) (* a (+ (* 2 (pow a 2)) (* 8 (pow a 2))))))))))))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
Outputs
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 6 (* a x))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -1/6 binary64)))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))))) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -1/6 binary64))))))))) (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -1/6 binary64))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 1/2 (* (pow x 2) (+ (* 2 x) (* 4 x)))) (+ (* 1/2 (pow x 3)) (+ (* 2 (+ (* 4/3 (pow x 3)) (* 32/3 (pow x 3)))) (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (+ (* 1/6 (* (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)))))))))))))))) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))))) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 24 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -1/6 binary64)))))))))))))) (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -1/6 binary64)))))))))) (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -1/6 binary64))))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
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(+.f64 #s(literal 6 binary64) (*.f64 a (+.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x x))))))))
(+ 6 (* a (+ (* 2 (+ (* 2 x) (* 4 x))) (+ (* 3 x) (* a (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (+ (* a (+ (* 1/2 (* (pow x 2) (+ (* 2 x) (* 4 x)))) (+ (* 1/2 (pow x 3)) (+ (* 2 (+ (* 4/3 (pow x 3)) (* 32/3 (pow x 3)))) (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))))) (* x (+ (* 2 x) (* 4 x)))))))))))
(+.f64 #s(literal 6 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 a (+.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 a (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 24 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
6
#s(literal 6 binary64)
(+ 6 (* x (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))
(+.f64 #s(literal 6 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64)))))
(+ 6 (* x (+ (* 2 (+ (* 2 a) (* 4 a))) (+ (* 3 a) (* x (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))))))
(+.f64 #s(literal 6 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 a a))))))))
(+ 6 (* x (+ (* 2 (+ (* 2 a) (* 4 a))) (+ (* 3 a) (* x (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (+ (* a (+ (* 2 a) (* 4 a))) (* x (+ (* 1/2 (* (pow a 2) (+ (* 2 a) (* 4 a)))) (+ (* 1/2 (pow a 3)) (+ (* 2 (+ (* 4/3 (pow a 3)) (* 32/3 (pow a 3)))) (* a (+ (* 2 (pow a 2)) (* 8 (pow a 2))))))))))))))))
(+.f64 #s(literal 6 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 12 binary64)) (+.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (+.f64 (*.f64 (*.f64 a a) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 a a)))) (*.f64 x (+.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 24 binary64)) (*.f64 a (*.f64 (*.f64 a a) #s(literal 10 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a a))))))))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* (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))
(*.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))
(*.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))
(*.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))
(*.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))
(*.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) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))
(* (pow a 2) x)
(*.f64 a (*.f64 a x))

eval178.0ms (1.8%)

Compiler

Compiled 39831 to 2787 computations (93% saved)

prune139.0ms (1.4%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New129581303
Fresh4812
Picked505
Done055
Total1304211325
Accuracy
100.0%
Counts
1325 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(fma.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x #s(literal 0 binary64))
▶99.7%
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
▶3.5%
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (*.f64 a x))
65.9%
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) #s(literal 2 binary64))
56.1%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
55.9%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64))
✓25.2%
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
24.1%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))) #s(literal 1 binary64))
✓25.3%
(-.f64 (+.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 (*.f64 a x) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
5.0%
(-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓57.9%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
24.1%
(+.f64 (+.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
25.2%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
45.9%
(*.f64 (*.f64 x x) (/.f64 a x))
▶67.3%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
61.8%
(*.f64 a (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #s(literal 1/24 binary64)))))))
61.8%
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
▶65.8%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓66.4%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
▶22.5%
#s(literal 0 binary64)
Compiler

Compiled 537 to 340 computations (36.7% saved)

simplify207.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #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 (*.f64 a x) #s(literal 1/6 binary64))))))
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓cost-diff512
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (*.f64 a x))
✓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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 a (*.f64 x #s(literal 6 binary64)))
✓cost-diff0
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))
✓cost-diff0
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
✓cost-diff0
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
Rules
2542×*-lowering-*.f32
2542×*-lowering-*.f64
2386×+-lowering-+.f64
2386×+-lowering-+.f32
1392×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038265
1119242
2381232
31322231
43592231
56024231
67847231
08014231
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x)))) (+ (exp (* a (* x 4))) (+ 1 (exp (* a (* x 2))))))
(/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x))))
(- (exp (* a (* x 6))) 1)
(* a (* x 6))
a
(* x 6)
x
6
(+ 1 (exp (* a x)))
1
(exp (* a x))
(* a x)
(+ (exp (* a (* x 4))) (+ 1 (exp (* a (* x 2)))))
(exp (* a (* x 4)))
(* a (* x 4))
(* x 4)
4
(+ 1 (exp (* a (* x 2))))
(exp (* a (* x 2)))
(* a (* x 2))
(* x 2)
2
0
(* a (* x (+ 1 (* (* a x) 1/2))))
a
(* x (+ 1 (* (* a x) 1/2)))
x
(+ 1 (* (* a x) 1/2))
1
(* (* a x) 1/2)
(* a x)
1/2
(/ (* (+ (* a x) 2) (* a x)) (* a x))
(* (+ (* a x) 2) (* a x))
(+ (* a x) 2)
(* a x)
a
x
2
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))
(* a x)
a
x
(+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))
1
(* (* a x) (+ 1/2 (* (* a x) 1/6)))
(+ 1/2 (* (* a x) 1/6))
1/2
(* (* a x) 1/6)
1/6
Outputs
(/ (/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x)))) (+ (exp (* a (* x 4))) (+ 1 (exp (* a (* x 2))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(- (exp (* a (* x 6))) 1)
(expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x)))
(* a (* x 6))
(*.f64 #s(literal 6 binary64) (*.f64 a x))
a
(* x 6)
(*.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
1
#s(literal 1 binary64)
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(+ (exp (* a (* x 4))) (+ 1 (exp (* a (* x 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(exp (* a (* x 4)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(* a (* x 4))
(*.f64 a (*.f64 x #s(literal 4 binary64)))
(* x 4)
(*.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 1 (exp (* a (* x 2))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))
(exp (* a (* x 2)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(* a (* x 2))
(*.f64 a (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)
(* 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 (+ 1 (* (* a x) 1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
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)))
(* a x)
(*.f64 a x)
1/2
#s(literal 1/2 binary64)
(/ (* (+ (* a x) 2) (* a x)) (* a x))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(* (+ (* a x) 2) (* a x))
(*.f64 a (*.f64 x (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(+ (* 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) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))
(*.f64 (*.f64 a 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)))))))
(* a x)
(*.f64 a x)
a
x
(+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))
(+.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
#s(literal 1 binary64)
(* (* a x) (+ 1/2 (* (* a x) 1/6)))
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))
(+ 1/2 (* (* a x) 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* a x) 1/6)
(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize391.0ms (4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
✓accuracy99.9%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))
✓accuracy99.6%
(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓accuracy65.8%
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (*.f64 a x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 a x) #s(literal 1/2 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓accuracy97.0%
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
✓accuracy100.0%
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
✓accuracy99.8%
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
✓accuracy99.6%
(*.f64 a (*.f64 x #s(literal 6 binary64)))
Results
266.0ms165×1valid
60.0ms91×0valid
Compiler

Compiled 263 to 38 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-exp: 51.0ms (32.1% of total)
ival-mult: 38.0ms (23.9% of total)
backward-pass: 19.0ms (12% of total)
compiled-spec: 16.0ms (10.1% of total)
ival-add: 15.0ms (9.5% of total)
ival-div: 8.0ms (5% of total)
...c/correct-round.rkt:119:19: 7.0ms (4.4% of total)
ival-sub: 3.0ms (1.9% of total)
const: 2.0ms (1.3% of total)

series12.0ms (0.1%)

Counts
19 → 456
Calls
Call 1
Inputs
#<alt (/ (/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x)))) (+ (exp (* a (* x 4))) (+ 1 (exp (* a (* x 2))))))>
#<alt (/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x))))>
#<alt (- (exp (* a (* x 6))) 1)>
#<alt (* a (* x 6))>
#<alt (* a (* x (+ 1 (* (* a x) 1/2))))>
#<alt (* x (+ 1 (* (* a x) 1/2)))>
#<alt (+ 1 (* (* a x) 1/2))>
#<alt (* (* a x) 1/2)>
#<alt (/ (* (+ (* a x) 2) (* a x)) (* a x))>
#<alt (* (+ (* a x) 2) (* a x))>
#<alt (+ (* a x) 2)>
#<alt (* a x)>
#<alt (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))>
#<alt (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))>
#<alt (* (* a x) (+ 1/2 (* (* a x) 1/6)))>
#<alt (exp (* a (* x 4)))>
#<alt (exp (* a (* x 2)))>
#<alt (* (* a x) 1/6)>
#<alt (+ 1/2 (* (* a x) 1/6))>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))))) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 1/2 (* (pow x 2) (+ (* 2 x) (* 4 x)))) (+ (* 1/2 (pow x 3)) (+ (* 2 (+ (* 4/3 (pow x 3)) (* 32/3 (pow x 3)))) (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (+ (* 1/6 (* (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)))))))))))))))) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))))) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))))) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (+ (* 6 (pow a 3)) (* x (- (* 9 (pow a 4)) (+ (* 1/6 (* a (+ (* 1/2 (* (pow a 2) (+ (* 2 a) (* 4 a)))) (+ (* 1/2 (pow a 3)) (+ (* 2 (+ (* 4/3 (pow a 3)) (* 32/3 (pow a 3)))) (* a (+ (* 2 (pow a 2)) (* 8 (pow a 2))))))))) (+ (* 1/6 (* (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)))))))))))))))) (+ (* 1/6 (* a (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))))) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))>
#<alt (* 3 (* a x))>
#<alt (* a (+ (* 3 x) (* a (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))))>
#<alt (* a (+ (* 3 x) (* a (- (+ (* 9 (pow x 2)) (* a (- (* 18 (pow x 3)) (+ (* 1/2 (* x (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))) (* 3/4 (pow x 3)))))) (* 3/2 (pow x 2))))))>
#<alt (* a (+ (* 3 x) (* a (- (+ (* 9 (pow x 2)) (* a (- (+ (* 18 (pow x 3)) (* a (- (* 27 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))) (+ (* 1/4 (pow x 4)) (* 1/2 (* x (- (* 18 (pow x 3)) (+ (* 1/2 (* x (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))) (* 3/4 (pow x 3))))))))))) (+ (* 1/2 (* x (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))) (* 3/4 (pow x 3)))))) (* 3/2 (pow x 2))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* 3 (* a x))>
#<alt (* x (+ (* 3 a) (* x (- (* 9 (pow a 2)) (* 3/2 (pow a 2))))))>
#<alt (* x (+ (* 3 a) (* x (- (+ (* 9 (pow a 2)) (* x (- (* 18 (pow a 3)) (+ (* 1/2 (* a (- (* 9 (pow a 2)) (* 3/2 (pow a 2))))) (* 3/4 (pow a 3)))))) (* 3/2 (pow a 2))))))>
#<alt (* x (+ (* 3 a) (* x (- (+ (* 9 (pow a 2)) (* x (- (+ (* 18 (pow a 3)) (* x (- (* 27 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (* 9 (pow a 2)) (* 3/2 (pow a 2))))) (+ (* 1/4 (pow a 4)) (* 1/2 (* a (- (* 18 (pow a 3)) (+ (* 1/2 (* a (- (* 9 (pow a 2)) (* 3/2 (pow a 2))))) (* 3/4 (pow a 3))))))))))) (+ (* 1/2 (* a (- (* 9 (pow a 2)) (* 3/2 (pow a 2))))) (* 3/4 (pow a 3)))))) (* 3/2 (pow a 2))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* 6 (* a x))>
#<alt (* a (+ (* 6 x) (* 18 (* a (pow x 2)))))>
#<alt (* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3)))))))>
#<alt (* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4)))))))))>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (* 6 (* a x))>
#<alt (* x (+ (* 6 a) (* 18 (* (pow a 2) x))))>
#<alt (* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* 36 (* (pow a 3) x))))))>
#<alt (* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* x (+ (* 36 (pow a 3)) (* 54 (* (pow a 4) x))))))))>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* 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 x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt 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 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt 1>
#<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))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* 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))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<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))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt 1>
#<alt (+ 1 (* 4 (* a x)))>
#<alt (+ 1 (* a (+ (* 4 x) (* 8 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* 32/3 (* a (pow x 3))))))))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt 1>
#<alt (+ 1 (* 4 (* a x)))>
#<alt (+ 1 (* x (+ (* 4 a) (* 8 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* 32/3 (* (pow a 3) x)))))))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt (exp (* 4 (* a x)))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (* 1/6 (* 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 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
Calls

114 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x))))
1.0ms
x
@0
(/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x))))
1.0ms
x
@-inf
(/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x))))
0.0ms
a
@inf
(/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x))))
0.0ms
a
@-inf
(/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x))))

rewrite403.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
3248×*-lowering-*.f32
3248×*-lowering-*.f64
3142×/-lowering-/.f32
3142×/-lowering-/.f64
2238×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037177
1231159
22089158
08809158
Stop Event
1×iter limit
1×node limit
Counts
19 → 770
Calls
Call 1
Inputs
(/ (/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x)))) (+ (exp (* a (* x 4))) (+ 1 (exp (* a (* x 2))))))
(/ (- (exp (* a (* x 6))) 1) (+ 1 (exp (* a x))))
(- (exp (* a (* x 6))) 1)
(* a (* x 6))
(* a (* x (+ 1 (* (* a x) 1/2))))
(* x (+ 1 (* (* a x) 1/2)))
(+ 1 (* (* a x) 1/2))
(* (* a x) 1/2)
(/ (* (+ (* a x) 2) (* a x)) (* a x))
(* (+ (* a x) 2) (* a x))
(+ (* a x) 2)
(* a x)
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))
(+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))
(* (* a x) (+ 1/2 (* (* a x) 1/6)))
(exp (* a (* x 4)))
(exp (* a (* x 2)))
(* (* a x) 1/6)
(+ 1/2 (* (* a x) 1/6))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))) (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))))) (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))) (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (*.f64 a x))) (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))))
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(/.f64 (*.f64 (*.f64 a x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64))) (*.f64 a x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))) (*.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64)) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 a x)))) (-.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 a x)))) (*.f64 (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))) (neg.f64 (-.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64))) (*.f64 a x))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64))) (*.f64 a x))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 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 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 a x))
(*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) a)
(*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 a x))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) a) x)
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 a x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a #s(literal 4 binary64)))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 x #s(literal 4 binary64)))) a))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 a (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 4 binary64))
(pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 a) (*.f64 x #s(literal 4 binary64)))
(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 a) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 a) (*.f64 (+.f64 x x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 a) (+.f64 (+.f64 x x) (*.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 a) (+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x x)))
(pow.f64 (exp.f64 a) (+.f64 (+.f64 x x) (+.f64 x x)))
(pow.f64 (exp.f64 a) (+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) x)
(pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (+.f64 x x))
(pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 a a))
(pow.f64 (exp.f64 x) (*.f64 a #s(literal 4 binary64)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 4 binary64) a))
(pow.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) a)
(pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) x)
(pow.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64)))) a)
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 a x))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))))
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)))
(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 (*.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 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 (pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(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 (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x (*.f64 a #s(literal 1/6 binary64)))
(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) a)
(*.f64 (*.f64 #s(literal 1/6 binary64) a) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64))) (+.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 a x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 a x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))

simplify354.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
5254×*-lowering-*.f32
5254×*-lowering-*.f64
2724×+-lowering-+.f64
2724×+-lowering-+.f32
1874×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04954857
118964362
271424310
080244310
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))))) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
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1
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1
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1
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(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(* 1/6 (* 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))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/6 (* a x))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* 1/6 (* a x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))))) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 x (*.f64 x #s(literal 6 binary64)))))) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64)))))))))) (+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64)))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 1/2 (* (pow x 2) (+ (* 2 x) (* 4 x)))) (+ (* 1/2 (pow x 3)) (+ (* 2 (+ (* 4/3 (pow x 3)) (* 32/3 (pow x 3)))) (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (+ (* 1/6 (* (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)))))))))))))))) (+ (* 1/6 (* x (+ (* 3/2 (pow x 2)) (+ (* 2 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 x) (* 4 x))))))) (* 1/6 (* (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))))) (* 1/6 (* x (+ (* 2 (+ (* 2 x) (* 4 x))) (* 3 x))))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 6 binary64)))) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 x (*.f64 x #s(literal 6 binary64)))))) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 x (*.f64 x #s(literal 6 binary64)))))) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))))))))))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 20 binary64)) (*.f64 x (*.f64 x #s(literal 6 binary64)))))) (*.f64 (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64))))))))))) (+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 x #s(literal 12 binary64)) (*.f64 x #s(literal 3 binary64)))))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64))))))))
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))))) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 a (*.f64 #s(literal 6 binary64) (*.f64 a a))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 a (+.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 #s(literal 6 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) #s(literal 20 binary64)))) (*.f64 (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64)))))))))) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64)))))))))
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (+ (* 6 (pow a 3)) (* x (- (* 9 (pow a 4)) (+ (* 1/6 (* a (+ (* 1/2 (* (pow a 2) (+ (* 2 a) (* 4 a)))) (+ (* 1/2 (pow a 3)) (+ (* 2 (+ (* 4/3 (pow a 3)) (* 32/3 (pow a 3)))) (* a (+ (* 2 (pow a 2)) (* 8 (pow a 2))))))))) (+ (* 1/6 (* (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)))))))))))))))) (+ (* 1/6 (* a (+ (* 3/2 (pow a 2)) (+ (* 2 (+ (* 2 (pow a 2)) (* 8 (pow a 2)))) (* a (+ (* 2 a) (* 4 a))))))) (* 1/6 (* (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))))) (* 1/6 (* a (+ (* 2 (+ (* 2 a) (* 4 a))) (* 3 a))))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a (+.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 24 binary64)) (*.f64 a (*.f64 (*.f64 a a) #s(literal 10 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (*.f64 #s(literal 6 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64))))) (+.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 #s(literal 6 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) #s(literal 20 binary64)))) (*.f64 (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 a (*.f64 #s(literal 6 binary64) (*.f64 a a))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 a (+.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 #s(literal 6 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) #s(literal 20 binary64)))) (*.f64 (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64))))))))))))))) (+.f64 (*.f64 a (*.f64 #s(literal 6 binary64) (*.f64 a a))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 a (+.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a a)) (*.f64 #s(literal 6 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) #s(literal 20 binary64)))) (*.f64 (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64))))))))))) (+.f64 (*.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (+.f64 (*.f64 a #s(literal 12 binary64)) (*.f64 a #s(literal 3 binary64)))))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* a x))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* 4 (* a x)))))))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* a (+ (* 3 x) (* a (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))))
(*.f64 a (+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 15/2 binary64)))))
(* a (+ (* 3 x) (* a (- (+ (* 9 (pow x 2)) (* a (- (* 18 (pow x 3)) (+ (* 1/2 (* x (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))) (* 3/4 (pow x 3)))))) (* 3/2 (pow x 2))))))
(*.f64 a (+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 a (+.f64 (*.f64 a (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 18 binary64))) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 15/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 3/4 binary64))))) (*.f64 (*.f64 x x) #s(literal 15/2 binary64))))))
(* a (+ (* 3 x) (* a (- (+ (* 9 (pow x 2)) (* a (- (+ (* 18 (pow x 3)) (* a (- (* 27 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))) (+ (* 1/4 (pow x 4)) (* 1/2 (* x (- (* 18 (pow x 3)) (+ (* 1/2 (* x (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))) (* 3/4 (pow x 3))))))))))) (+ (* 1/2 (* x (- (* 9 (pow x 2)) (* 3/2 (pow x 2))))) (* 3/4 (pow x 3)))))) (* 3/2 (pow x 2))))))
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(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (*.f64 a #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)))
(* 1/2 (* a x))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 a a) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))
(* 1/2 (* a x))
(*.f64 a (*.f64 x #s(literal 1/2 binary64)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 x x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 4 (* a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 4 binary64))))
(+ 1 (* a (+ (* 4 x) (* 8 (* a (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 8 binary64))))))
(+ 1 (* a (+ (* 4 x) (* a (+ (* 8 (pow x 2)) (* 32/3 (* a (pow x 3))))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 a (*.f64 (*.f64 x (*.f64 x x)) #s(literal 32/3 binary64))))))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 4 (* a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 4 binary64))))
(+ 1 (* x (+ (* 4 a) (* 8 (* (pow a 2) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 8 binary64))))))
(+ 1 (* x (+ (* 4 a) (* x (+ (* 8 (pow a 2)) (* 32/3 (* (pow a 3) x)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 8 binary64))) (*.f64 x (*.f64 a (*.f64 (*.f64 a a) #s(literal 32/3 binary64)))))))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
(exp (* 4 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 2 binary64))))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 a (*.f64 a x))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 4/3 binary64) (*.f64 a (*.f64 x (*.f64 x x)))))))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 2 binary64))))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 a (*.f64 a x))))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 x (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 a a)) a)))))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))
(* 1/6 (* 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)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(+ 1/2 (* 1/6 (* a x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(+ 1/2 (* 1/6 (* a x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) a)))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) a)))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) a)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(+ 1/2 (* 1/6 (* a x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(+ 1/2 (* 1/6 (* a x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (* a x))
(*.f64 a (*.f64 x #s(literal 1/6 binary64)))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 a #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))

eval223.0ms (2.3%)

Compiler

Compiled 37726 to 3104 computations (91.8% saved)

prune163.0ms (1.7%)

Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New146471471
Fresh2911
Picked235
Done055
Total1468241492
Accuracy
100.0%
Counts
1492 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
66.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 a (*.f64 x (*.f64 a x)))))) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
65.9%
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) #s(literal 2 binary64))
3.4%
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) a) (*.f64 a x))
56.1%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
55.9%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64))
✓25.2%
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
24.1%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))) #s(literal 1 binary64))
✓25.3%
(-.f64 (+.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 (*.f64 a x) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
5.0%
(-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓57.9%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
24.1%
(+.f64 (+.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
4.3%
(+.f64 (*.f64 a x) #s(literal 2 binary64))
25.2%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
3.8%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (/.f64 a (*.f64 a x)))
45.9%
(*.f64 (*.f64 x x) (/.f64 a x))
65.9%
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x)
✓67.3%
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
65.9%
(*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x))
61.8%
(*.f64 a (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #s(literal 1/24 binary64)))))))
✓66.4%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
3.1%
#s(literal 2 binary64)
✓22.5%
#s(literal 0 binary64)
Compiler

Compiled 944 to 374 computations (60.4% saved)

regimes56.0ms (0.6%)

Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (/.f64 a x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x)
(-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) a) (*.f64 a x))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (*.f64 a x))
(/.f64 (-.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 0 binary64)) (*.f64 a x))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (/.f64 a (*.f64 a x)))
(+.f64 (+.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #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 #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 (+.f64 (*.f64 a x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (+.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 (*.f64 a x) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
(*.f64 a (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #s(literal 1/24 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 a (*.f64 x (*.f64 a x)))))) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(fma.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x #s(literal 0 binary64))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 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))))))))
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

12.0ms
a
12.0ms
(*.f64 a x)
11.0ms
x
10.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
9.0ms
(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)

regimes36.0ms (0.4%)

Counts
33 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (/.f64 a x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x)
(-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) a) (*.f64 a x))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (*.f64 a x))
(/.f64 (-.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 0 binary64)) (*.f64 a x))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (/.f64 a (*.f64 a x)))
(+.f64 (+.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #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 #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 (+.f64 (*.f64 a x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (+.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 (*.f64 a x) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
(*.f64 a (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #s(literal 1/24 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 a (*.f64 x (*.f64 a x)))))) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 a (*.f64 x (*.f64 a x)))))) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))
Calls

3 calls:

12.0ms
(*.f64 a x)
12.0ms
a
9.0ms
x
Results
AccuracySegmentsBranch
81.6%2a
77.6%2x
99.2%2(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (/.f64 a x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x)
(-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) a) (*.f64 a x))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (*.f64 a x))
(/.f64 (-.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 0 binary64)) (*.f64 a x))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (/.f64 a (*.f64 a x)))
(+.f64 (+.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #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 #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 (+.f64 (*.f64 a x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (+.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 (*.f64 a x) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
(*.f64 a (+.f64 x (*.f64 (*.f64 a (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) (*.f64 (*.f64 a (*.f64 x x)) (*.f64 a #s(literal 1/24 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 a (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64))
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))
Calls

1 calls:

9.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
99.2%2(*.f64 a x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes9.0ms (0.1%)

Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (/.f64 a x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x)
(-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) a) (*.f64 a x))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (*.f64 a x))
(/.f64 (-.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 0 binary64)) (*.f64 a x))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (/.f64 a (*.f64 a x)))
(+.f64 (+.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64))
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x)
Calls

1 calls:

8.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
98.8%2(*.f64 a x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (/.f64 a x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x)
(-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 a x)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) a) (*.f64 a x))
(/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) (*.f64 a x))
(/.f64 (-.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 0 binary64)) (*.f64 a x))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (/.f64 a (*.f64 a x)))
(+.f64 (+.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 a x))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x)
Calls

1 calls:

6.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
98.4%2(*.f64 a x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes7.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (/.f64 a x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x))
Calls

1 calls:

4.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
98.4%2(*.f64 a x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
98.3%2(*.f64 a x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (/.f64 a x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a x)
Calls

1 calls:

3.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
97.5%2(*.f64 a x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes11.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (/.f64 a x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 a x)
Calls

3 calls:

4.0ms
a
3.0ms
x
3.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
66.4%1x
66.4%1a
66.4%1(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Accuracy

Total -12.8b remaining (-25.8%)

Threshold costs -12.8b (-25.8%)

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

2 calls:

1.0ms
x
1.0ms
a
Results
AccuracySegmentsBranch
22.5%1x
22.5%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-17.685194649416292
-0.00016286055563098317
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-17.685194649416292
-0.00016286055563098317
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-17.685194649416292
-0.00016286055563098317
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-17.685194649416292
-0.00016286055563098317
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-17.685194649416292
-0.00016286055563098317
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-17.685194649416292
-0.00016286055563098317
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.00013518906038429383
-2.807936936699683e-12
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
98×*-commutative_binary64
72×neg-mul-1_binary64
70×unsub-neg_binary64
64×distribute-rgt-neg-in_binary64
60×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059238
1111238
2150238
3193238
4256238
5346238
6374238
7390238
8393238
Stop Event
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 a (*.f64 x (*.f64 a x)))))) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64)) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64)) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)) (*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #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 -7378697629483821/73786976294838206464 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)) (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)
Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 a (*.f64 x (*.f64 a x)))))) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 a x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) (*.f64 a (*.f64 x (*.f64 a x))))))) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64)) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal -1 binary64)) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal 1 binary64)) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (*.f64 x x)) x)))) #s(literal -1 binary64)) (*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) x))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal -1 binary64)) (*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)) (*.f64 a (+.f64 (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal -1 binary64)) (*.f64 a (+.f64 x (*.f64 x (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (*.f64 a x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #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 -10 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #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 -7378697629483821/73786976294838206464 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)) (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -7378697629483821/73786976294838206464 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal -1 binary64)) (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

soundness2.0s (20.8%)

Rules
8366×fma-define
7692×fma-lowering-fma.f32
7692×fma-lowering-fma.f64
4618×*-lowering-*.f32
4618×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041202
1255135
22265134
08840134
037177
1231159
22089158
08809158
029173
1218147
22226143
08318143
04334172
116923686
265563614
083303614
063570
1203532
2661526
31542526
42278526
52638526
62866522
72980522
82996522
92999522
102999512
115566512
126811508
08165508
064
1164
2204
3214
0214
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 669 to 337 computations (49.6% saved)

preprocess91.0ms (0.9%)

Remove

(sort a x)

Compiler

Compiled 532 to 156 computations (70.7% saved)

end0.0ms (0%)

Profiling

Loading profile data...