Hyperbolic secant

Time bar (total: 8.6s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 8 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

sample885.0ms (10.4%)

Results
714.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 303.0ms
ival-exp: 112.0ms (36.9% of total)
ival-neg: 68.0ms (22.4% of total)
ival-div: 65.0ms (21.4% of total)
ival-add: 46.0ms (15.2% of total)
const: 9.0ms (3% of total)
backward-pass: 3.0ms (1% of total)
Bogosity

preprocess27.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
128×fmsub-define
120×fnmsub-define
112×fnmadd-define
80×fma-define
80×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
13024
26124
310824
419124
529424
638424
748224
852324
954124
1056524
1157324
078
1148
2218
3258
4348
5418
6498
7578
8608
9618
0618
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ 2 (+ (exp x) (exp (neg x))))
Outputs
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
Call 2
Inputs
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x))))))
Outputs
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (recip (exp x))))
(/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))
(/ 2 (+ (exp x) (recip (exp x))))
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x))))))
(/ -2 (+ (exp x) (recip (exp x))))
Symmetry

(abs x)

explain70.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
42.0ms512×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 13.0ms (56.2% of total)
ival-div: 4.0ms (17.3% of total)
ival-add: 3.0ms (13% of total)
ival-neg: 2.0ms (8.6% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(exp.f64 (neg.f64 x))
✓cost-diff-64
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓cost-diff-64
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓cost-diff0
(exp.f64 x)
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
12×fma-lowering-fma.f32
12×fma-define
12×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11423
22123
32523
43423
54123
64923
75723
86023
96123
06123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 2 (+ (exp x) (exp (neg x))))
2
(+ (exp x) (exp (neg x)))
(exp x)
x
(exp (neg x))
(neg x)
Outputs
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
2
#s(literal 2 binary64)
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(exp x)
(exp.f64 x)
x
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize26.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
18.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 3.0ms (36.9% of total)
ival-div: 2.0ms (24.6% of total)
ival-add: 1.0ms (12.3% of total)
ival-neg: 1.0ms (12.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (exp x)>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (exp (neg x))>
#<alt (neg x)>
Outputs
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ 2 (+ (exp x) (exp (neg x))))
1.0ms
x
@inf
(/ 2 (+ (exp x) (exp (neg x))))
0.0ms
x
@0
(/ 2 (+ (exp x) (exp (neg x))))
0.0ms
x
@inf
(neg x)
0.0ms
x
@0
(exp x)

rewrite303.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3916×*-lowering-*.f32
3916×*-lowering-*.f64
2488×/-lowering-/.f32
2488×/-lowering-/.f64
1922×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
13714
227514
3260214
0965214
Stop Event
1×iter limit
1×node limit
Counts
5 → 334
Calls
Call 1
Inputs
(exp x)
(/ 2 (+ (exp x) (exp (neg x))))
(+ (exp x) (exp (neg x)))
(exp (neg x))
(neg x)
Outputs
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -2 binary64))))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (exp.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (exp.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
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(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) x)) (exp.f64 (/.f64 (*.f64 x x) x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (log.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (log.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))

simplify191.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2314×fma-lowering-fma.f32
2314×fma-lowering-fma.f64
2106×sum3-define
1968×sum4-define
1762×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066303
1170284
2460280
31283280
42683280
54419280
67120280
08043280
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval53.0ms (0.6%)

Compiler

Compiled 7332 to 1190 computations (83.8% saved)

prune45.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3859394
Fresh000
Picked101
Done000
Total3869395
Accuracy
100.0%
Counts
395 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.6%
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
49.6%
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
85.8%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
90.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
72.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
▶49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
▶49.9%
#s(literal 1 binary64)
Compiler

Compiled 244 to 156 computations (36.1% saved)

simplify195.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sinh.f64 (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))
✓cost-diff128
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
✓cost-diff6912
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Rules
3222×*-lowering-*.f32
3222×*-lowering-*.f64
2100×/-lowering-/.f32
2100×/-lowering-/.f64
1160×neg-lowering-neg.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028171
186156
2273156
3715156
41845156
55413156
08221156
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (cosh x))
1
(cosh x)
x
1
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))
1
(* (* x x) (+ -1/2 (* (* x x) 5/24)))
(* x x)
x
(+ -1/2 (* (* x x) 5/24))
-1/2
(* (* x x) 5/24)
5/24
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))))
1
(* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))
(* x x)
x
(+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))
-1/2
(* x (* x (+ 5/24 (* (* x x) -61/720))))
(* x (+ 5/24 (* (* x x) -61/720)))
(+ 5/24 (* (* x x) -61/720))
5/24
(* (* x x) -61/720)
-61/720
(/ (/ 2 (* 2 (sinh (* x 2)))) (/ 1/2 (sinh x)))
(/ 2 (* 2 (sinh (* x 2))))
2
(* 2 (sinh (* x 2)))
(sinh (* x 2))
(* x 2)
x
(/ 1/2 (sinh x))
1/2
(sinh x)
Outputs
(/ 1 (cosh x))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
1
#s(literal 1 binary64)
(cosh x)
(cosh.f64 x)
x
1
#s(literal 1 binary64)
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/2 (* (* x x) 5/24)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* (* x x) 5/24))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(* (* x x) 5/24)
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
5/24
#s(literal 5/24 binary64)
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (* x (+ 5/24 (* (* x x) -61/720))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))
(* x (+ 5/24 (* (* x x) -61/720)))
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))
(+ 5/24 (* (* x x) -61/720))
(+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))
5/24
#s(literal 5/24 binary64)
(* (* x x) -61/720)
(*.f64 (*.f64 x x) #s(literal -61/720 binary64))
-61/720
#s(literal -61/720 binary64)
(/ (/ 2 (* 2 (sinh (* x 2)))) (/ 1/2 (sinh x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/ 2 (* 2 (sinh (* x 2))))
(/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))
2
#s(literal 2 binary64)
(* 2 (sinh (* x 2)))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))
(sinh (* x 2))
(sinh.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
(/ 1/2 (sinh x))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
1/2
#s(literal 1/2 binary64)
(sinh x)
(sinh.f64 x)

localize316.0ms (3.7%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
✓accuracy100.0%
(sinh.f64 (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
✓accuracy100.0%
(+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -61/720 binary64))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))
✓accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Results
156.0ms128×5exit
71.0ms118×0valid
15.0ms6×3valid
2.0ms3×1valid
1.0ms1×2valid
Compiler

Compiled 186 to 29 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-sinh: 40.0ms (26.7% of total)
backward-pass: 37.0ms (24.7% of total)
ival-mult: 30.0ms (20% of total)
...c/correct-round.rkt:119:19: 13.0ms (8.7% of total)
ival-add: 13.0ms (8.7% of total)
ival-div: 11.0ms (7.3% of total)
ival-cosh: 5.0ms (3.3% of total)
const: 1.0ms (0.7% of total)

series27.0ms (0.3%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/ 1 (cosh x))>
#<alt (cosh x)>
#<alt (+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))>
#<alt (* (* x x) (+ -1/2 (* (* x x) 5/24)))>
#<alt (* x x)>
#<alt (+ -1/2 (* (* x x) 5/24))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))))>
#<alt (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))>
#<alt (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))>
#<alt (/ (/ 2 (* 2 (sinh (* x 2)))) (/ 1/2 (sinh x)))>
#<alt (/ 2 (* 2 (sinh (* x 2))))>
#<alt (* 2 (sinh (* x 2)))>
#<alt (sinh (* x 2))>
#<alt (* (* x x) 5/24)>
#<alt (* x (+ 5/24 (* (* x x) -61/720)))>
#<alt (* (* x x) -61/720)>
#<alt (* x (* x (+ 5/24 (* (* x x) -61/720))))>
#<alt (+ 5/24 (* (* x x) -61/720))>
#<alt (/ 1/2 (sinh x))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)>
#<alt (/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 8/3 (pow x 2))))>
#<alt (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))>
#<alt (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 x)>
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* x (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* -61/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* -61/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* -61/720 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* -61/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt 5/24>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (+ 5/24 (* -61/720 (pow x 2)))>
#<alt (* -61/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* -61/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/12 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)>
#<alt (/ 1 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 1 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 1 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 1 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 1 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 1 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 1 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 1 (- (exp x) (/ 1 (exp x))))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x (+ 5/24 (* (* x x) -61/720)))
2.0ms
x
@0
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))))
2.0ms
x
@-inf
(/ (/ 2 (* 2 (sinh (* x 2)))) (/ 1/2 (sinh x)))
2.0ms
x
@inf
(/ (/ 2 (* 2 (sinh (* x 2)))) (/ 1/2 (sinh x)))
2.0ms
x
@inf
(/ 1 (cosh x))

rewrite357.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
3138×/-lowering-/.f32
3138×/-lowering-/.f64
3028×*-lowering-*.f32
3028×*-lowering-*.f64
1972×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028148
1178133
21523133
08414133
Stop Event
1×iter limit
1×node limit
Counts
19 → 760
Calls
Call 1
Inputs
(/ 1 (cosh x))
(cosh x)
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))
(* (* x x) (+ -1/2 (* (* x x) 5/24)))
(* x x)
(+ -1/2 (* (* x x) 5/24))
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))))
(* (* x x) (+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720))))))
(+ -1/2 (* x (* x (+ 5/24 (* (* x x) -61/720)))))
(/ (/ 2 (* 2 (sinh (* x 2)))) (/ 1/2 (sinh x)))
(/ 2 (* 2 (sinh (* x 2))))
(* 2 (sinh (* x 2)))
(sinh (* x 2))
(* (* x x) 5/24)
(* x (+ 5/24 (* (* x x) -61/720)))
(* (* x x) -61/720)
(* x (* x (+ 5/24 (* (* x x) -61/720))))
(+ 5/24 (* (* x x) -61/720))
(/ 1/2 (sinh x))
Outputs
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
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(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))
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(/.f64 (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3721/518400 binary64))) (-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3721/518400 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))
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(*.f64 (+.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -226981/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3721/518400 binary64)) (-.f64 #s(literal 25/576 binary64) (*.f64 #s(literal -61/3456 binary64) (*.f64 x x))))))
(*.f64 (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3721/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 125/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -226981/373248000 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) #s(literal -5/24 binary64)))))))
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(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3721/518400 binary64)) #s(literal -25/576 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) #s(literal -5/24 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)))
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(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))

simplify244.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2980×*-lowering-*.f32
2980×*-lowering-*.f64
2578×+-lowering-+.f64
2578×+-lowering-+.f32
1946×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01662080
14511981
213001967
336481944
465331944
080071944
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
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(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
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(* 5/24 (pow x 4))
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(pow x 2)
(pow x 2)
(pow x 2)
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(pow x 2)
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(pow x 2)
(pow x 2)
(pow x 2)
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-1/2
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(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
1
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(* -61/720 (pow x 6))
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(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -1/2 (pow x 2))
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(* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))
(* -61/720 (pow x 6))
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(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
-1/2
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(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(* -61/720 (pow x 4))
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(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
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1
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(/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)
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(* 4 x)
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(* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))
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(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(* 2 x)
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 x)
(* x (+ 5/24 (* -61/720 (pow x 2))))
(* x (+ 5/24 (* -61/720 (pow x 2))))
(* x (+ 5/24 (* -61/720 (pow x 2))))
(* -61/720 (pow x 3))
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -61/720 (pow x 3))
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* -61/720 (pow x 2))
(* 5/24 (pow x 2))
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))
(* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
5/24
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(+ 5/24 (* -61/720 (pow x 2)))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(/ 1/2 x)
(/ (+ 1/2 (* -1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))))
(* 5/24 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5/24 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
(* 5/24 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5/24 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* 5/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* 5/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))
(* -61/720 (pow x 6))
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -61/720 (pow x 6))
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
(* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))
(* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))
(* -61/720 (pow x 6))
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -61/720 (pow x 6))
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -61/720 binary64) (+.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))
(* -61/720 (pow x 4))
(*.f64 x (*.f64 #s(literal -61/720 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
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(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 1 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))

eval149.0ms (1.7%)

Compiler

Compiled 26505 to 2597 computations (90.2% saved)

prune97.0ms (1.1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New104141045
Fresh134
Picked145
Done000
Total1043111054
Accuracy
100.0%
Counts
1054 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.8%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
▶90.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
▶72.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶90.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
▶85.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
✓49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
49.5%
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (sinh.f64 x))
49.6%
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (*.f64 (sinh.f64 x) (cosh.f64 x))))
✓49.9%
#s(literal 1 binary64)
Compiler

Compiled 251 to 166 computations (33.9% saved)

simplify85.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
Rules
2334×fma-define
1778×fma-lowering-fma.f32
1778×fma-lowering-fma.f64
694×*-lowering-*.f32
694×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039363
1116322
2365316
31010310
42239310
52468310
62583310
72583310
83100310
93101310
03101310
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))
1
(+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))
(* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))
(* x x)
x
(+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))
1/2
(* x (* x (+ 1/24 (* (* x x) 1/720))))
(* x (+ 1/24 (* (* x x) 1/720)))
(+ 1/24 (* (* x x) 1/720))
1/24
(* (* x x) 1/720)
1/720
(/ 2 (+ 2 (* x x)))
2
(+ 2 (* x x))
(* x x)
x
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))
1
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))
(* x (* x (+ 1/2 (* (* x x) 1/24))))
x
(* x (+ 1/2 (* (* x x) 1/24)))
(+ 1/2 (* (* x x) 1/24))
1/2
(* (* x x) 1/24)
(* x x)
1/24
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
2
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(* x x)
x
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
1/12
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
2
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))
(* x x)
x
(+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))
1
(* x (* x (+ 1/12 (* x (* x 1/360)))))
(* x (+ 1/12 (* x (* x 1/360))))
(+ 1/12 (* x (* x 1/360)))
1/12
(* x (* x 1/360))
(* x 1/360)
1/360
Outputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (* x (+ 1/24 (* (* x x) 1/720))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* x (+ 1/24 (* (* x x) 1/720)))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(+ 1/24 (* (* x x) 1/720))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
1/24
#s(literal 1/24 binary64)
(* (* x x) 1/720)
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
1/720
#s(literal 1/720 binary64)
(/ 2 (+ 2 (* x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* x x))
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(* x x)
(*.f64 x x)
x
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(* x (* x (+ 1/2 (* (* x x) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
x
(* x (+ 1/2 (* (* x x) 1/24)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(+ 1/2 (* (* x x) 1/24))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* x x) 1/24)
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* x x)
(*.f64 x x)
1/24
#s(literal 1/24 binary64)
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
1
#s(literal 1 binary64)
(* x (* x (+ 1/12 (* x (* x 1/360)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* x (* x 1/360))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(+ 1/12 (* x (* x 1/360)))
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
1/12
#s(literal 1/12 binary64)
(* x (* x 1/360))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)

localize205.0ms (2.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
✓accuracy99.6%
(*.f64 x #s(literal 1/360 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓accuracy99.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.4%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
Results
141.0ms254×0valid
3.0ms2×3valid
Compiler

Compiled 367 to 40 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 29.0ms (42.9% of total)
...c/correct-round.rkt:119:19: 14.0ms (20.7% of total)
ival-add: 14.0ms (20.7% of total)
ival-div: 9.0ms (13.3% of total)
const: 1.0ms (1.5% of total)
backward-pass: 1.0ms (1.5% of total)

series16.0ms (0.2%)

Counts
26 → 312
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))>
#<alt (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))>
#<alt (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))>
#<alt (* x x)>
#<alt (/ 2 (+ 2 (* x x)))>
#<alt (+ 2 (* x x))>
#<alt (/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))>
#<alt (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))>
#<alt (* x (* x (+ 1/2 (* (* x x) 1/24))))>
#<alt (* x (+ 1/2 (* (* x x) 1/24)))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))>
#<alt (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))>
#<alt (* (* x x) (+ 1 (* (* x x) 1/12)))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))>
#<alt (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))>
#<alt (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))>
#<alt (* (* x x) 1/720)>
#<alt (* x (+ 1/24 (* (* x x) 1/720)))>
#<alt (* x (* x (+ 1/24 (* (* x x) 1/720))))>
#<alt (* (* x x) 1/24)>
#<alt (* (* x x) 1/12)>
#<alt (+ 1 (* (* x x) 1/12))>
#<alt (* x 1/360)>
#<alt (* x (+ 1/12 (* x (* x 1/360))))>
#<alt (* x (* x 1/360))>
#<alt (* x (* x (+ 1/12 (* x (* x 1/360)))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
Calls

78 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))
0.0ms
x
@inf
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
0.0ms
x
@inf
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))
0.0ms
x
@inf
(* x (+ 1/24 (* (* x x) 1/720)))
0.0ms
x
@inf
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))

rewrite327.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
3256×fma-lowering-fma.f32
3256×fma-lowering-fma.f64
2932×*-lowering-*.f32
2932×*-lowering-*.f64
1852×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039284
1280244
22568238
08840238
Stop Event
1×iter limit
1×node limit
Counts
26 → 633
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))
(+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))
(* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))
(* x x)
(/ 2 (+ 2 (* x x)))
(+ 2 (* x x))
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))
(* x (* x (+ 1/2 (* (* x x) 1/24))))
(* x (+ 1/2 (* (* x x) 1/24)))
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))
(* (* x x) 1/720)
(* x (+ 1/24 (* (* x x) 1/720)))
(* x (* x (+ 1/24 (* (* x x) 1/720))))
(* (* x x) 1/24)
(* (* x x) 1/12)
(+ 1 (* (* x x) 1/12))
(* x 1/360)
(* x (+ 1/12 (* x (* x 1/360))))
(* x (* x 1/360))
(* x (* x (+ 1/12 (* x (* x 1/360)))))
Outputs
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
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(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
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(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
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(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64)))
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(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))
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(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64) (*.f64 x #s(literal 1/12 binary64)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))))
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(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x)) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) x)
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/360 binary64)) x)
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) x))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) x))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) x))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) x))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) x))
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(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) x)
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) x)

simplify273.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
3532×*-lowering-*.f32
3532×*-lowering-*.f64
2728×+-lowering-+.f64
2728×+-lowering-+.f32
1806×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01802748
15632571
216332515
348962515
087172515
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 12 binary64))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 12 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
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(* 1/24 (pow x 2))
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(* 1/12 (pow x 2))
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(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
1
#s(literal 1 binary64)
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(* 1/360 x)
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(* 1/360 x)
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(* 1/360 x)
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(* 1/360 x)
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(* 1/360 x)
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(* 1/360 x)
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(* 1/360 x)
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(* 1/360 x)
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(* 1/360 x)
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(* 1/12 x)
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(* x (+ 1/12 (* 1/360 (pow x 2))))
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(* x (+ 1/12 (* 1/360 (pow x 2))))
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(* x (+ 1/12 (* 1/360 (pow x 2))))
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(* 1/360 (pow x 3))
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(* 1/360 (pow x 4))
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(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))

eval129.0ms (1.5%)

Compiler

Compiled 28209 to 2859 computations (89.9% saved)

prune141.0ms (1.6%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New1054231077
Fresh022
Picked325
Done044
Total1057311088
Accuracy
100.0%
Counts
1088 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
38.6%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
50.9%
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))))))
▶55.2%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
50.9%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))))))
90.0%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x x)))))
90.0%
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
56.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
53.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64)))))))
56.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))))
68.1%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
56.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))))))
▶85.8%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
▶68.1%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
90.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64))))))))
✓90.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
89.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
✓72.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
38.6%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
38.9%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
▶25.6%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶90.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))))
85.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))))
✓49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
55.2%
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))
49.5%
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (sinh.f64 x))
49.6%
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (*.f64 (sinh.f64 x) (cosh.f64 x))))
✓49.9%
#s(literal 1 binary64)
Compiler

Compiled 1741 to 796 computations (54.3% saved)

simplify195.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))))
✓cost-diff128
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))))
Rules
3366×*-lowering-*.f32
3366×*-lowering-*.f64
1994×fma-lowering-fma.f32
1994×fma-lowering-fma.f64
1884×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053765
1167652
2542612
32187608
44740608
08098608
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x))))))
1
(+ 1 (* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x)))))
(* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x))))
(* x x)
x
(+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x)))
1/2
(* (+ 1/24 (* (* x x) 1/720)) (* x x))
(+ 1/24 (* (* x x) 1/720))
1/24
(* (* x x) 1/720)
1/720
(/ 2 (* x x))
2
(* x x)
x
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x 1/12) x)))))
2
(+ 2 (* (* x x) (+ 1 (* (* x 1/12) x))))
(* (* x x) (+ 1 (* (* x 1/12) x)))
(* x x)
x
(+ 1 (* (* x 1/12) x))
1
(* (* x 1/12) x)
(* x 1/12)
1/12
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))))
2
(+ 2 (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))))))
(* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))
(* x x)
x
(+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))))
1
(* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))
(/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))
(* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x)
(- 1/144 (* (* x (* x (* x x))) 1/129600))
1/144
(* (* x (* x (* x x))) 1/129600)
(* x (* x (* x x)))
(* x (* x x))
1/129600
(- 1/12 (* x (* x 1/360)))
1/12
(* x (* x 1/360))
(* x 1/360)
1/360
(/ 2 (/ 1 (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))))))
2
(/ 1 (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))))))
1
(/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))))
(- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
(* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))
x
(* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))
(+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))
(* x (* x (+ 1/12 (* x (* x 1/360)))))
(* x (+ 1/12 (* x (* x 1/360))))
(+ 1/12 (* x (* x 1/360)))
1/12
(* x (* x 1/360))
(* x 1/360)
1/360
(- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))))
4
(* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))
(* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
Outputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (+ 1/24 (* (* x x) 1/720)) (* x x))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/24 (* (* x x) 1/720))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
1/24
#s(literal 1/24 binary64)
(* (* x x) 1/720)
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
1/720
#s(literal 1/720 binary64)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x 1/12) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1 (* (* x 1/12) x))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(* (* x x) (+ 1 (* (* x 1/12) x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x 1/12) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x 1/12) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/129600 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/129600 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))))
(* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/129600 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/129600 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
1
#s(literal 1 binary64)
(* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/129600 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))
(/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/129600 binary64))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))
(* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x)
(*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/129600 binary64)))))
(- 1/144 (* (* x (* x (* x x))) 1/129600))
(+.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/129600 binary64))))
1/144
#s(literal 1/144 binary64)
(* (* x (* x (* x x))) 1/129600)
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/129600 binary64)))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
1/129600
#s(literal 1/129600 binary64)
(- 1/12 (* x (* x 1/360)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* x (* x 1/360))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(/ 2 (/ 1 (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))
2
#s(literal 2 binary64)
(/ 1 (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
1
#s(literal 1 binary64)
(/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))))
(- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
x
(* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(* x (* x (+ 1/12 (* x (* x 1/360)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* x (* x 1/360))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(+ 1/12 (* x (* x 1/360)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* x (* x 1/360))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))))
(+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))))
4
#s(literal 4 binary64)
(* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
(* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))

localize315.0ms (3.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
✓accuracy99.6%
(*.f64 x #s(literal 1/360 binary64))
✓accuracy54.9%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
✓accuracy99.7%
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x)
✓accuracy99.6%
(*.f64 x #s(literal 1/360 binary64))
✓accuracy76.0%
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
✓accuracy99.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
✓accuracy99.7%
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
✓accuracy99.4%
(*.f64 x #s(literal 1/12 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.3%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))
✓accuracy99.8%
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
Results
205.0ms256×0valid
Compiler

Compiled 793 to 54 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 61.0ms (53% of total)
...c/correct-round.rkt:119:19: 22.0ms (19.1% of total)
ival-div: 16.0ms (13.9% of total)
ival-add: 11.0ms (9.5% of total)
ival-sub: 5.0ms (4.3% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
24 → 288
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x))))))>
#<alt (+ 1 (* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x)))))>
#<alt (* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x))))>
#<alt (* x x)>
#<alt (/ 2 (* x x))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* (* x 1/12) x)))))>
#<alt (+ 2 (* (* x x) (+ 1 (* (* x 1/12) x))))>
#<alt (* (* x x) (+ 1 (* (* x 1/12) x)))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))))>
#<alt (+ 2 (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))))))>
#<alt (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))>
#<alt (/ 2 (/ 1 (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))))))>
#<alt (/ 1 (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))))))>
#<alt (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))))>
#<alt (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))>
#<alt (* (* x x) 1/720)>
#<alt (* (+ 1/24 (* (* x x) 1/720)) (* x x))>
#<alt (* x 1/12)>
#<alt (* (* x 1/12) x)>
#<alt (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))>
#<alt (* x 1/360)>
#<alt (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x)>
#<alt (* x (* x 1/360))>
#<alt (* x (+ 1/12 (* x (* x 1/360))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))>
#<alt (/ 360 (pow x 6))>
#<alt (/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 360 (/ 194400 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 2203200 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 360 (pow x 6))>
#<alt (/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 360 (/ 194400 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 2203200 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/12 (pow x 2)) 1)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/360 (pow x 2)) 1/12)) 1)))>
#<alt (* -1/360 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))>
#<alt (* -1/360 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/144 x)>
#<alt (* x (+ 1/144 (* -1/129600 (pow x 4))))>
#<alt (* x (+ 1/144 (* -1/129600 (pow x 4))))>
#<alt (* x (+ 1/144 (* -1/129600 (pow x 4))))>
#<alt (* -1/129600 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600))>
#<alt (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600))>
#<alt (* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600))>
#<alt (* -1/129600 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
Calls

72 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(* x 1/12)
1.0ms
x
@inf
(/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))
0.0ms
x
@inf
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))))
0.0ms
x
@inf
(/ 2 (/ 1 (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))))))
0.0ms
x
@inf
(* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))

rewrite409.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
3394×fma-lowering-fma.f32
3394×fma-lowering-fma.f64
3254×*-lowering-*.f32
3254×*-lowering-*.f64
1928×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053407
1371256
23390247
08626247
Stop Event
1×iter limit
1×node limit
Counts
24 → 581
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x))))))
(+ 1 (* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x)))))
(* (* x x) (+ 1/2 (* (+ 1/24 (* (* x x) 1/720)) (* x x))))
(* x x)
(/ 2 (* x x))
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x 1/12) x)))))
(+ 2 (* (* x x) (+ 1 (* (* x 1/12) x))))
(* (* x x) (+ 1 (* (* x 1/12) x)))
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))))
(+ 2 (* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))))))
(* (* x x) (+ 1 (* x (/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360)))))))
(/ 2 (/ 1 (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))))))
(/ 1 (/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))))))
(/ (- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))) (- 4 (* x (* (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))) (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360))))))))))))
(- 2 (* x (* x (+ 1 (* x (* x (+ 1/12 (* x (* x 1/360)))))))))
(* (* x x) 1/720)
(* (+ 1/24 (* (* x x) 1/720)) (* x x))
(* x 1/12)
(* (* x 1/12) x)
(/ (* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x) (- 1/12 (* x (* x 1/360))))
(* x 1/360)
(* (- 1/144 (* (* x (* x (* x x))) 1/129600)) x)
(* x (* x 1/360))
(* x (+ 1/12 (* x (* x 1/360))))
Outputs
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1 binary64)))
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(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2985984 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/2176782336000000 binary64))) (/.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))) (+.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64))) (/.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) x)
(*.f64 (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/12 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))) (/.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (-.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
(+.f64 (*.f64 x #s(literal 1/144 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))))
(+.f64 (*.f64 #s(literal 1/144 binary64) x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)) x))
(fma.f64 x #s(literal 1/144 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))))
(fma.f64 #s(literal 1/144 binary64) x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2985984 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/2176782336000000 binary64))) x) (+.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64))) x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/2985984 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/2176782336000000 binary64)))) (+.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64)))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))
(*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))))
(*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))) x)
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/360 binary64)) x)
(+.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1/12 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64)))
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (+.f64 #s(literal -1/12 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal -1/12 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2985984 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/2176782336000000 binary64))) x) (*.f64 (+.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64))) x) (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (+.f64 #s(literal -1/12 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2985984 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/2176782336000000 binary64))) (/.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))) (+.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64))) (/.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) x)
(*.f64 (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/12 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))) (/.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (-.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))

simplify291.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
3480×*-lowering-*.f32
3480×*-lowering-*.f64
2618×+-lowering-+.f64
2618×+-lowering-+.f32
1466×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02032622
15892486
216822426
349732420
081782420
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))
(/ 360 (pow x 6))
(/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 360 (/ 194400 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 2203200 (/ 1 (pow x 6))))) (pow x 6))
(/ 360 (pow x 6))
(/ (- 360 (* 10800 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 360 (/ 194400 (pow x 4))) (* 10800 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 360 (/ 194400 (pow x 4))) (+ (* 10800 (/ 1 (pow x 2))) (* 2203200 (/ 1 (pow x 6))))) (pow x 6))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/12 (pow x 2)) 1)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/360 (pow x 2)) 1/12)) 1)))
(* -1/360 (pow x 6))
(* -1 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))
(* -1/360 (pow x 6))
(* -1 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/144 x)
(* x (+ 1/144 (* -1/129600 (pow x 4))))
(* x (+ 1/144 (* -1/129600 (pow x 4))))
(* x (+ 1/144 (* -1/129600 (pow x 4))))
(* -1/129600 (pow x 5))
(* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600))
(* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600))
(* (pow x 5) (- (* 1/144 (/ 1 (pow x 4))) 1/129600))
(* -1/129600 (pow x 5))
(* -1 (* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -61/720 binary64))))))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* 1/720 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* 1/720 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* 1/720 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
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(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))

eval150.0ms (1.7%)

Compiler

Compiled 59438 to 3143 computations (94.7% saved)

prune140.0ms (1.6%)

Pruning

36 alts after pruning (27 fresh and 9 done)

PrunedKeptTotal
New1154171171
Fresh101020
Picked145
Done156
Total1166361202
Accuracy
100.0%
Counts
1202 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
41.1%
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
23.9%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
42.6%
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
38.6%
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
38.6%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
50.9%
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64))))))
94.7%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
90.0%
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
56.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
53.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))))
56.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))))
68.1%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
✓85.8%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
✓68.1%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
67.7%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal -1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
72.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
90.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
90.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64))))))))
89.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
✓72.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
42.6%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
38.6%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
38.9%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
38.6%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
✓25.6%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓90.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))))
42.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
✓49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
✓49.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
49.5%
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (sinh.f64 x))
25.1%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
49.6%
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (*.f64 (sinh.f64 x) (cosh.f64 x))))
✓49.9%
#s(literal 1 binary64)
Compiler

Compiled 2235 to 729 computations (67.4% saved)

regimes68.0ms (0.8%)

Counts
54 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal -1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (sinh.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

29.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
14.0ms
x
12.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Counts
48 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal -1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))))))
Outputs
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
96.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Counts
45 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal -1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))))
Outputs
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
94.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal -1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
91.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal -1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
90.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
25 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
89.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
89.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
89.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
85.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
85.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
85.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
72.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
71.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
49.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
7.325496837314934e+25
3.146719749423355e+26
Results
6.0ms96×0valid
Compiler

Compiled 877 to 286 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (53.1% of total)
ival-exp: 1.0ms (26.6% of total)
ival-add: 1.0ms (26.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
5.0ms
7.679686824306599e+76
9.317203125314306e+83
Results
3.0ms64×0valid
Compiler

Compiled 221 to 118 computations (46.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (52% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.82690223120322
7677696.815869183
Results
9.0ms144×0valid
Compiler

Compiled 301 to 181 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (56.6% of total)
ival-div: 1.0ms (18.9% of total)
ival-add: 1.0ms (18.9% of total)
ival-neg: 1.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.17198080226668486
2.82690223120322
Results
7.0ms112×0valid
Compiler

Compiled 223 to 129 computations (42.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (49.6% of total)
ival-div: 1.0ms (24.8% of total)
ival-add: 1.0ms (24.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.17198080226668486
2.82690223120322
Results
8.0ms112×0valid
Compiler

Compiled 223 to 157 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (57.4% of total)
ival-div: 1.0ms (19.1% of total)
ival-add: 1.0ms (19.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.17198080226668486
2.82690223120322
Results
7.0ms112×0valid
Compiler

Compiled 195 to 129 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (49.9% of total)
ival-div: 1.0ms (25% of total)
ival-add: 1.0ms (25% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
2.82690223120322
7677696.815869183
Results
9.0ms144×0valid
Compiler

Compiled 193 to 127 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (56.7% of total)
ival-div: 1.0ms (18.9% of total)
ival-add: 1.0ms (18.9% of total)
ival-neg: 1.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.17198080226668486
2.82690223120322
Results
7.0ms112×0valid
Compiler

Compiled 83 to 66 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (48.7% of total)
ival-div: 1.0ms (24.4% of total)
ival-add: 1.0ms (24.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify42.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
122×*-commutative_binary64
74×+-commutative_binary64
66×neg-mul-1_binary64
60×unsub-neg_binary64
60×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110439
1173439
2190439
3209439
4244439
5288439
6315439
7336439
8355439
9379439
10402439
11424439
12438439
13446439
14447439
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 130000000000000001040187392 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
(if (<=.f64 x #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(if (<=.f64 x #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x)))))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(if (<=.f64 x #s(literal 5291729562160333/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 130000000000000001040187392 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))))))
(if (<=.f64 x #s(literal 130000000000000001040187392 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))))
(if (<=.f64 x #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal -1 binary64))))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(if (<=.f64 x #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) x)))))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(if (<=.f64 x #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(if (<=.f64 x #s(literal 5291729562160333/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness2.4s (28.5%)

Rules
3916×*-lowering-*.f32
3916×*-lowering-*.f64
3532×*-lowering-*.f32
3532×*-lowering-*.f64
3480×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066303
1170284
2460280
31283280
42683280
54419280
67120280
08043280
02032622
15892486
216822426
349732420
081782420
0717
13714
227514
3260214
0965214
01662080
14511981
213001967
336481944
465331944
080071944
01802748
15632571
216332515
348962515
087172515
039284
1280244
22568238
08840238
Stop Event
1×fuel
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
1×iter limit
1×node limit
Compiler

Compiled 1051 to 498 computations (52.6% saved)

preprocess98.0ms (1.1%)

Remove

(abs x)

Compiler

Compiled 918 to 260 computations (71.7% saved)

end0.0ms (0%)

Profiling

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