Hyperbolic secant

Time bar (total: 8.3s)

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)

sample843.0ms (10.2%)

Results
612.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 336.0ms
ival-exp: 117.0ms (34.8% of total)
ival-neg: 76.0ms (22.6% of total)
ival-div: 71.0ms (21.1% of total)
ival-add: 56.0ms (16.7% of total)
const: 12.0ms (3.6% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess50.0ms (0.6%)

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)

explain110.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
01(293.2709830565522)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
81.0ms512×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 30.0ms (70.4% of total)
ival-exp: 7.0ms (16.4% of total)
ival-add: 3.0ms (7% of total)
ival-neg: 2.0ms (4.7% of total)
const: 1.0ms (2.3% 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)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.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)

localize68.0ms (0.8%)

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
59.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 3.0ms (35.5% of total)
ival-div: 2.0ms (23.6% of total)
ival-add: 1.0ms (11.8% of total)
ival-neg: 1.0ms (11.8% 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 (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (neg 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) (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 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 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) (exp (neg x)))

rewrite452.0ms (5.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0717
13714
227713
3260613
0973413
Stop Event
1×iter limit
1×node limit
Counts
5 → 334
Calls
Call 1
Inputs
(/ 2 (+ (exp x) (exp (neg x))))
(+ (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(neg x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (*.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 #s(literal 2 binary64) x))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (exp.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (/.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 #s(literal 2 binary64) x)) (/.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 #s(literal 2 binary64) x))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))))))
(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 #s(literal 2 binary64) x)))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))))))
(fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (/.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 #s(literal 2 binary64) x)) (/.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 #s(literal 2 binary64) x)) (*.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 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (exp.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (/.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 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) #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 #s(literal 2 binary64) x))))
(/.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 #s(literal 2 binary64) x)) #s(literal -1 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) #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 #s(literal 2 binary64) x))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.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 #s(literal 2 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) #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 #s(literal 2 binary64) x)) #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 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) #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 #s(literal 2 binary64) x))) #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 #s(literal 2 binary64) x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
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(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.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 #s(literal 2 binary64) x)) #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 #s(literal 2 binary64) x)) (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))

simplify233.0ms (2.8%)

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: 1 (0.0ms)

IterNodesCost
066303
1170273
2462273
31282273
42683273
54417273
67123273
08046273
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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) (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 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 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 (* -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 (*.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) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 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 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
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 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 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)

eval51.0ms (0.6%)

Compiler

Compiled 7332 to 1189 computations (83.8% saved)

prune76.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3886394
Fresh000
Picked101
Done000
Total3896395
Accuracy
100.0%
Counts
395 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(/.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 (*.f64 x x) #s(literal 1/360 binary64))))))))
▶87.1%
(/.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))))))
▶72.4%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶50.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
▶51.1%
#s(literal 1 binary64)
Compiler

Compiled 122 to 80 computations (34.4% saved)

simplify174.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓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 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 #s(literal -1/2 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Rules
1742×fnmadd-define
1524×fma-define
1294×fmsub-define
1268×fnmsub-define
1244×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01785
14678
210777
322177
428577
530877
631977
737677
887277
9115077
10177777
11222277
12306077
13405177
14512877
15543377
16559477
17568977
18573877
19577877
20579477
0579477
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (cosh x))
1
(cosh x)
x
1
(+ 1 (* -1/2 (* x x)))
1
(* -1/2 (* x x))
-1/2
(* x x)
x
(/ 2 (+ 2 (* x x)))
2
(+ 2 (* x x))
(* x x)
x
(/ 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
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 (* -1/2 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* -1/2 (* x x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
x
(/ 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
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
1/12
#s(literal 1/12 binary64)

localize168.0ms (2%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.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))))
✓accuracy99.8%
(/.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))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Results
111.0ms256×0valid
Compiler

Compiled 104 to 18 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 39.0ms (67.2% of total)
ival-div: 6.0ms (10.3% of total)
ival-add: 5.0ms (8.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.9% of total)
ival-cosh: 3.0ms (5.2% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ 1 (cosh x))>
#<alt (cosh x)>
#<alt (+ 1 (* -1/2 (* x x)))>
#<alt (* -1/2 (* x x))>
#<alt (* x x)>
#<alt (/ 2 (+ 2 (* x x)))>
#<alt (+ 2 (* x x))>
#<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 (* (* x x) 1/12)>
#<alt (+ 1 (* (* x x) 1/12))>
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 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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 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 (* 1/12 (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))))>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ 1 (cosh x))
1.0ms
x
@-inf
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
1.0ms
x
@-inf
(/ 1 (cosh x))
0.0ms
x
@inf
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
0.0ms
x
@inf
(+ 1 (* -1/2 (* x x)))

rewrite338.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
4804×*-lowering-*.f32
4804×*-lowering-*.f64
2752×/-lowering-/.f32
2752×/-lowering-/.f64
1900×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01769
111662
293361
0861061
Stop Event
1×iter limit
1×node limit
Counts
12 → 384
Calls
Call 1
Inputs
(/ 1 (cosh x))
(cosh x)
(+ 1 (* -1/2 (* x x)))
(* -1/2 (* x x))
(* x x)
(/ 2 (+ 2 (* x x)))
(+ 2 (* x x))
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(* (* x x) 1/12)
(+ 1 (* (* x x) 1/12))
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)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #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) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(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 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(cosh.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1/5159780352 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/2985984 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/2985984 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20736 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1728 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1 binary64))))

simplify422.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
1942×*-lowering-*.f32
1942×*-lowering-*.f64
1842×sum3-define
1740×sum4-define
1450×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01131079
1315885
2890859
32570859
45182859
08098859
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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
(+ 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)))))))
(* 1/2 (+ (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
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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))
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))))
(* 1/12 (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))))
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 (*.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 (*.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) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (*.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 x (*.f64 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 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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 x (*.f64 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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) x) x)
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) x) x)
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.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) (- (* 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 (* -1/12 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (-.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 288 binary64) (*.f64 x x)) (/.f64 #s(literal -27648 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (-.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 288 binary64) (*.f64 x x)) (/.f64 #s(literal -27648 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x (*.f64 x 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 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))

eval67.0ms (0.8%)

Compiler

Compiled 14299 to 1489 computations (89.6% saved)

prune63.0ms (0.8%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New57414588
Fresh101
Picked055
Done000
Total57519594
Accuracy
100.0%
Counts
594 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶37.9%
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
▶51.0%
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
52.3%
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 2 binary64))))))
50.9%
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 4 binary64))))))
39.3%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
51.8%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
50.1%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
87.1%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
87.1%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
✓87.1%
(/.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))))))
87.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
✓72.4%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶39.6%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
39.3%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
▶24.9%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶91.2%
(/.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 x (*.f64 x #s(literal 1/720 binary64)))))))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓50.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓51.1%
#s(literal 1 binary64)
Compiler

Compiled 891 to 423 computations (52.5% saved)

simplify200.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
✓cost-diff0
(-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal -288 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
✓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 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))
✓cost-diff0
(+.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 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))
Rules
3854×*-lowering-*.f32
3854×*-lowering-*.f64
2544×+-lowering-+.f64
2544×+-lowering-+.f32
1770×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047364
1142292
2468282
31958278
47432278
08033278
Stop Event
1×iter limit
1×node limit
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))))
(+ 1/24 (* x (* x 1/720)))
1/24
(* x (* x 1/720))
(* x 1/720)
1/720
(/ 2 (* x x))
2
(* x x)
x
(/ 2 (* x (* x (+ 1 (* x (* x 1/12))))))
2
(* x (* x (+ 1 (* x (* x 1/12)))))
x
(* x (+ 1 (* x (* x 1/12))))
(+ 1 (* x (* x 1/12)))
1
(* x (* x 1/12))
(* x 1/12)
1/12
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
(+ 24 (/ -288 (* x x)))
24
(/ -288 (* x x))
-288
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))
(* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))))
2
(- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))
16
(* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))
(* x x)
x
(* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))
(+ (* x x) -2)
-2
(* x (* x (+ (* x x) -2)))
(* x (+ (* x x) -2))
(* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2)))))
(+ 8 (* x (* x (* x (* x (* x x))))))
8
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(- 4 (* x (* x (+ (* x x) -2))))
4
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))))
(+ 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))
(* x 1/720)
(*.f64 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 (* x (* x (+ 1 (* x (* x 1/12))))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
2
#s(literal 2 binary64)
(* x (* x (+ 1 (* x (* x 1/12)))))
(*.f64 (*.f64 x 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+ 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))
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(+ 24 (/ -288 (* x x)))
(+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x)))
24
#s(literal 24 binary64)
(/ -288 (* x x))
(/.f64 #s(literal -288 binary64) (*.f64 x x))
-288
#s(literal -288 binary64)
(* x x)
(*.f64 x x)
x
(* x (* x (* x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 2 binary64) (*.f64 x x))))))
2
#s(literal 2 binary64)
(- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))
(+.f64 #s(literal 16 binary64) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
16
#s(literal 16 binary64)
(* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))
(*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(* x x)
(*.f64 x x)
x
(* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(+ (* x x) -2)
(+.f64 (*.f64 x x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* x (* x (+ (* x x) -2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* x (+ (* x x) -2))
(*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2)))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(+ 8 (* x (* x (* x (* x (* x x))))))
(+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
8
#s(literal 8 binary64)
(* x (* x (* x (* x (* x x)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
(* x (* x (* x (* x x))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))
(* x (* x (* x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(* x (* x x))
(*.f64 x (*.f64 x x))
(- 4 (* x (* x (+ (* x x) -2))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
4
#s(literal 4 binary64)

localize235.0ms (2.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
✓accuracy56.3%
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.0%
(/.f64 #s(literal -288 binary64) (*.f64 x x))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
✓accuracy99.4%
(*.f64 x #s(literal 1/12 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.1%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))
✓accuracy99.6%
(*.f64 x #s(literal 1/720 binary64))
Results
160.0ms256×0valid
Compiler

Compiled 451 to 48 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 33.0ms (49% of total)
...c/correct-round.rkt:119:19: 12.0ms (17.8% of total)
ival-div: 10.0ms (14.8% of total)
ival-add: 9.0ms (13.4% of total)
ival-sub: 2.0ms (3% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts
23 → 276
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 (* x x))>
#<alt (/ 2 (* x (* x (+ 1 (* x (* x 1/12))))))>
#<alt (* x (* x (+ 1 (* x (* x 1/12)))))>
#<alt (* x (+ 1 (* x (* x 1/12))))>
#<alt (+ 1 (* x (* x 1/12)))>
#<alt (/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))>
#<alt (+ 24 (/ -288 (* x x)))>
#<alt (/ -288 (* x x))>
#<alt (/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))>
#<alt (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))))>
#<alt (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))>
#<alt (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))>
#<alt (* x 1/720)>
#<alt (* (* x x) (+ 1/24 (* x (* x 1/720))))>
#<alt (* x (* x 1/720))>
#<alt (* x 1/12)>
#<alt (* x (* x 1/12))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x 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 (/ 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 (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (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 x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (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 (/ -288 (pow x 6))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 6))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 6))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 6))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ -288 (pow x 2))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 2))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 2))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 2))>
#<alt 24>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt 24>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (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 32>
#<alt (+ 32 (* -8 (pow x 4)))>
#<alt (+ 32 (* (pow x 4) (- (* 8 (pow x 2)) 8)))>
#<alt (+ 32 (* (pow x 4) (- (* (pow x 2) (+ 8 (* -2 (pow x 2)))) 8)))>
#<alt (* -2 (pow x 8))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (pow x 2))) (+ 2 (/ 8 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 8 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 8)))) (+ 2 (/ 8 (pow x 4)))))>
#<alt (* -2 (pow x 8))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (pow x 2))) (+ 2 (/ 8 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 8 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 8)))) (+ 2 (/ 8 (pow x 4)))))>
#<alt 16>
#<alt (+ 16 (* -4 (pow x 4)))>
#<alt (+ 16 (* (pow x 4) (- (* 4 (pow x 2)) 4)))>
#<alt (+ 16 (* (pow x 4) (- (* (pow x 2) (+ 4 (* -1 (pow x 2)))) 4)))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (* 4 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 8) (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8)))) (+ 1 (/ 4 (pow x 4)))))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (* 4 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 8) (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8)))) (+ 1 (/ 4 (pow x 4)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* -4 (pow x 2))))>
#<alt (* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))>
#<alt (* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<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 (* 1/720 (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 (* 1/12 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))))
2.0ms
x
@0
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))))
1.0ms
x
@inf
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* x (* x 1/720))))))))
1.0ms
x
@inf
(/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))
0.0ms
x
@0
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))

rewrite310.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
3214×*-lowering-*.f32
3214×*-lowering-*.f64
2606×/-lowering-/.f32
2606×/-lowering-/.f64
2306×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047231
1302170
22551168
08558168
Stop Event
1×iter limit
1×node limit
Counts
23 → 534
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 (* x x))
(/ 2 (* x (* x (+ 1 (* x (* x 1/12))))))
(* x (* x (+ 1 (* x (* x 1/12)))))
(* x (+ 1 (* x (* x 1/12))))
(+ 1 (* x (* x 1/12)))
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
(+ 24 (/ -288 (* x x)))
(/ -288 (* x x))
(/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))
(* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))))
(- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))
(* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))
(* x 1/720)
(* (* x x) (+ 1/24 (* x (* x 1/720))))
(* x (* x 1/720))
(* x 1/12)
(* x (* x 1/12))
(* x (* x x))
(* x (* x (* x x)))
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))))))))))
(/.f64 #s(literal -1 binary64) (neg.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))))))))))))
(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))
(pow.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)) #s(literal 2 binary64))
(pow.f64 (*.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)))))))) (+.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 (exp.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))
(*.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) (*.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)))
(+.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 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 (*.f64 x x) #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.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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(pow.f64 (/.f64 (+.f64 #s(literal 256 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (-.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (-.f64 #s(literal 256 binary64) (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))))
(*.f64 (-.f64 #s(literal 256 binary64) (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (neg.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(*.f64 (*.f64 x (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) x)
(*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) x) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) x)
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/720 binary64)) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/12 binary64))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))

simplify264.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
4970×*-lowering-*.f32
4970×*-lowering-*.f64
1818×fma-lowering-fma.f32
1818×fma-lowering-fma.f64
1612×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02172225
16121852
216521821
371591821
082491821
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
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))
(/ 2 (pow x 2))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (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))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (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))))
(/ -288 (pow x 6))
(/ (- (* 24 (pow x 2)) 288) (pow x 6))
(/ (- (* 24 (pow x 2)) 288) (pow x 6))
(/ (- (* 24 (pow x 2)) 288) (pow x 6))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ -288 (pow x 2))
(/ (- (* 24 (pow x 2)) 288) (pow x 2))
(/ (- (* 24 (pow x 2)) 288) (pow x 2))
(/ (- (* 24 (pow x 2)) 288) (pow x 2))
24
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
24
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (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))
32
(+ 32 (* -8 (pow x 4)))
(+ 32 (* (pow x 4) (- (* 8 (pow x 2)) 8)))
(+ 32 (* (pow x 4) (- (* (pow x 2) (+ 8 (* -2 (pow x 2)))) 8)))
(* -2 (pow x 8))
(* (pow x 8) (- (* 8 (/ 1 (pow x 2))) 2))
(* (pow x 8) (- (* 8 (/ 1 (pow x 2))) (+ 2 (/ 8 (pow x 4)))))
(* (pow x 8) (- (+ (* 8 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 8)))) (+ 2 (/ 8 (pow x 4)))))
(* -2 (pow x 8))
(* (pow x 8) (- (* 8 (/ 1 (pow x 2))) 2))
(* (pow x 8) (- (* 8 (/ 1 (pow x 2))) (+ 2 (/ 8 (pow x 4)))))
(* (pow x 8) (- (+ (* 8 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 8)))) (+ 2 (/ 8 (pow x 4)))))
16
(+ 16 (* -4 (pow x 4)))
(+ 16 (* (pow x 4) (- (* 4 (pow x 2)) 4)))
(+ 16 (* (pow x 4) (- (* (pow x 2) (+ 4 (* -1 (pow x 2)))) 4)))
(* -1 (pow x 8))
(* (pow x 8) (- (* 4 (/ 1 (pow x 2))) 1))
(* (pow x 8) (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 4)))))
(* (pow x 8) (- (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8)))) (+ 1 (/ 4 (pow x 4)))))
(* -1 (pow x 8))
(* (pow x 8) (- (* 4 (/ 1 (pow x 2))) 1))
(* (pow x 8) (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 4)))))
(* (pow x 8) (- (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8)))) (+ 1 (/ 4 (pow x 4)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* -4 (pow x 2))))
(* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))
(* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 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)))))
(* 1/720 (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))
(* 1/12 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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
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 (*.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 (*.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 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.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))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 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 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.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))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -21600 binary64) (*.f64 x x)) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 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 (*.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)))))) #s(literal 1 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 (*.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)))))) #s(literal 1 binary64))
(* 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)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/72 binary64))))))) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/72 binary64) (*.f64 (*.f64 x x) #s(literal -1/864 binary64))))))) (*.f64 x x))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 3456 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (/.f64 #s(literal -41472 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
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(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
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(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))

eval122.0ms (1.5%)

Compiler

Compiled 32857 to 2397 computations (92.7% saved)

prune99.0ms (1.2%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New102891037
Fresh369
Picked235
Done145
Total1034221056
Accuracy
100.0%
Counts
1056 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶24.2%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
41.9%
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
57.7%
(/.f64 (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -8 binary64))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓37.9%
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
50.9%
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 4 binary64))))))
▶94.5%
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
▶39.3%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
51.8%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
50.1%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
▶87.1%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
✓72.4%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓39.6%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
39.3%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
✓24.9%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
24.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
91.2%
(/.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))))))) #s(literal 1 binary64)))
▶70.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
91.2%
(/.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 (*.f64 x x) #s(literal 1/720 binary64))))))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓50.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
24.2%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓51.1%
#s(literal 1 binary64)
Compiler

Compiled 911 to 454 computations (50.2% saved)

simplify167.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.f64 x 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 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.f64 x 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 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
✓cost-diff0
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
✓cost-diff0
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
✓cost-diff0
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
Rules
2186×fma-lowering-fma.f32
2186×fma-lowering-fma.f64
2120×*-lowering-*.f32
2120×*-lowering-*.f64
1942×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046368
1127313
2351288
31105287
42719287
57697287
08049287
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 32 (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))
32
(* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2)))))
(+ 8 (* x (* x (* x (* x (* x x))))))
8
(* x (* x (* x (* x (* x x)))))
x
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(- 4 (* x (* x (+ (* x x) -2))))
4
(* x (* x (+ (* x x) -2)))
(* x (+ (* x x) -2))
(+ (* x x) -2)
-2
(/ (/ 2 x) x)
(/ 2 x)
2
x
(/ 24 (* x (* x (* x x))))
24
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(/ 2 (+ 2 (* (* x (+ 1 (* x (* x 1/12)))) x)))
2
(+ 2 (* (* x (+ 1 (* x (* x 1/12)))) x))
(* (* x (+ 1 (* x (* x 1/12)))) x)
(* x (+ 1 (* x (* x 1/12))))
x
(+ 1 (* x (* x 1/12)))
1
(* x (* x 1/12))
(* x 1/12)
1/12
(/ 1 (+ 1 (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))))))
1
(+ 1 (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720))))))
(* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))))
(* x x)
x
(+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720))))
1/2
(/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))
(* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x))
(- 1/576 (* (* x (* x (* x x))) 1/518400))
1/576
(* (* x (* x (* x x))) 1/518400)
(* x (* x (* x x)))
(* x (* x x))
1/518400
(- 1/24 (* (* x x) 1/720))
1/24
(* (* x x) 1/720)
1/720
Outputs
(/ 32 (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))
(/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x x)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
32
#s(literal 32 binary64)
(* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2)))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x x))))))
(+ 8 (* x (* x (* x (* x (* x x))))))
(+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
8
#s(literal 8 binary64)
(* x (* x (* x (* x (* x x)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
x
(* x (* x (* x (* x x))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))
(* x (* x (* x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(- 4 (* x (* x (+ (* x x) -2))))
(+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
4
#s(literal 4 binary64)
(* x (* x (+ (* x x) -2)))
(*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(* x (+ (* x x) -2))
(*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(+ (* x x) -2)
(+.f64 (*.f64 x x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (/ 2 x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(/ 24 (* x (* x (* x x))))
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
24
#s(literal 24 binary64)
(* x (* x (* x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(/ 2 (+ 2 (* (* x (+ 1 (* x (* x 1/12)))) 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))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x (+ 1 (* x (* x 1/12)))) x))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (* x (+ 1 (* x (* x 1/12)))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* x (* x 1/12))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
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))
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(/ 1 (+ 1 (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* 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 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))))) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* 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 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))))) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))))) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))))) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))
1/2
#s(literal 1/2 binary64)
(/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))))) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/518400 binary64)))))
(- 1/576 (* (* x (* x (* x x))) 1/518400))
(+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))))
1/576
#s(literal 1/576 binary64)
(* (* x (* x (* x x))) 1/518400)
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))
(* x (* x (* x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(* x (* x x))
(*.f64 x (*.f64 x x))
1/518400
#s(literal 1/518400 binary64)
(- 1/24 (* (* x x) 1/720))
(+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))
1/24
#s(literal 1/24 binary64)
(* (* x x) 1/720)
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
1/720
#s(literal 1/720 binary64)

localize237.0ms (2.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.f64 x x))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
✓accuracy79.0%
(/.f64 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
✓accuracy99.8%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
✓accuracy99.4%
(*.f64 x #s(literal 1/12 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.7%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.6%
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
Results
161.0ms256×0valid
Compiler

Compiled 452 to 47 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 26.0ms (38.3% of total)
...c/correct-round.rkt:119:19: 17.0ms (25.1% of total)
ival-div: 12.0ms (17.7% of total)
ival-add: 7.0ms (10.3% of total)
ival-sub: 4.0ms (5.9% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (/ 32 (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))>
#<alt (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2)))))>
#<alt (+ 8 (* x (* x (* x (* x (* x x))))))>
#<alt (* x (* x (* x (* x (* x x)))))>
#<alt (/ (/ 2 x) x)>
#<alt (/ 2 x)>
#<alt (/ 24 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (/ 2 (+ 2 (* (* x (+ 1 (* x (* x 1/12)))) x)))>
#<alt (+ 2 (* (* x (+ 1 (* x (* x 1/12)))) x))>
#<alt (* (* x (+ 1 (* x (* x 1/12)))) x)>
#<alt (* x (+ 1 (* x (* x 1/12))))>
#<alt (/ 1 (+ 1 (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))))))>
#<alt (+ 1 (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720))))))>
#<alt (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))))>
#<alt (* x (* x (* x (* x x))))>
#<alt (* x 1/12)>
#<alt (* x (* x 1/12))>
#<alt (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))>
#<alt (* (* x x) 1/720)>
#<alt (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))>
#<alt (/ -32 (pow x 10))>
#<alt (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))>
#<alt (/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))>
#<alt (/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))>
#<alt (/ -32 (pow x 10))>
#<alt (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))>
#<alt (/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))>
#<alt (/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))>
#<alt 32>
#<alt (+ 32 (* 16 (pow x 2)))>
#<alt (+ 32 (* (pow x 2) (+ 16 (* -8 (pow x 2)))))>
#<alt (+ 32 (* (pow x 2) (+ 16 (* (pow x 2) (- (* 4 (pow x 2)) 8)))))>
#<alt (* -1 (pow x 10))>
#<alt (* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))>
#<alt (* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))>
#<alt (* -1 (pow x 10))>
#<alt (* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))>
#<alt (* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))>
#<alt 8>
#<alt (+ 8 (pow x 6))>
#<alt (+ 8 (pow x 6))>
#<alt (+ 8 (pow x 6))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<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 (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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) (- (* 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 x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 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 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 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<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 (* 1/24 (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 (* 1/720 (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 (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (+ 1/576 (* -1/518400 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/576 (* -1/518400 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/576 (* -1/518400 (pow x 4))))>
#<alt (* -1/518400 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* -1/518400 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
Calls

69 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ 32 (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))
0.0ms
x
@inf
(/ 1 (+ 1 (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))))))
0.0ms
x
@inf
(/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))
0.0ms
x
@inf
(+ 8 (* x (* x (* x (* x (* x x))))))
0.0ms
x
@inf
(* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))))

rewrite329.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3120×*-lowering-*.f32
3120×*-lowering-*.f64
2428×/-lowering-/.f32
2428×/-lowering-/.f64
2150×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046253
1291175
22382162
08191162
Stop Event
1×iter limit
1×node limit
Counts
23 → 533
Calls
Call 1
Inputs
(/ 32 (* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2))))))
(* (+ 8 (* x (* x (* x (* x (* x x)))))) (- 4 (* x (* x (+ (* x x) -2)))))
(+ 8 (* x (* x (* x (* x (* x x))))))
(* x (* x (* x (* x (* x x)))))
(/ (/ 2 x) x)
(/ 2 x)
(/ 24 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(/ 2 (+ 2 (* (* x (+ 1 (* x (* x 1/12)))) x)))
(+ 2 (* (* x (+ 1 (* x (* x 1/12)))) x))
(* (* x (+ 1 (* x (* x 1/12)))) x)
(* x (+ 1 (* x (* x 1/12))))
(/ 1 (+ 1 (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))))))
(+ 1 (* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720))))))
(* (* x x) (+ 1/2 (/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))))
(* x (* x (* x (* x x))))
(* x 1/12)
(* x (* x 1/12))
(/ (* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x)) (- 1/24 (* (* x x) 1/720)))
(* (* x x) 1/720)
(* (- 1/576 (* (* x (* x (* x x))) 1/518400)) (* x x))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 32 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 32 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 32 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 32 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 32 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 32 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal -32 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal -32 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))))
(/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 32 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 32 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64))
(*.f64 #s(literal 32 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(*.f64 #s(literal -32 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 32 binary64))
(*.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) #s(literal 32 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(*.f64 (/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(+.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) #s(literal 8 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(fma.f64 #s(literal 8 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(fma.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) #s(literal 8 binary64) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) #s(literal 8 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8 binary64)))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 (*.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
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(*.f64 (*.f64 x (*.f64 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) (+.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 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))) (/.f64 #s(literal 1 binary64) (+.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 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
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(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/373248000 binary64)))) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/720 binary64)) x)
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))
(+.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/139314069504000000 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64))) (+.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/139314069504000000 binary64)))) (+.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64))) (+.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64)))) (+.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64)))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/139314069504000000 binary64))))) (neg.f64 (+.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64))) (+.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/518400 binary64))))))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))
(*.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))) x)

simplify255.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
3716×*-lowering-*.f32
3716×*-lowering-*.f64
3218×+-lowering-+.f64
3218×+-lowering-+.f32
1536×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01902001
15351748
214731718
344641718
082361718
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(/ -32 (pow x 10))
(* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))
(/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))
(/ -32 (pow x 10))
(* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))
(/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))
32
(+ 32 (* 16 (pow x 2)))
(+ 32 (* (pow x 2) (+ 16 (* -8 (pow x 2)))))
(+ 32 (* (pow x 2) (+ 16 (* (pow x 2) (- (* 4 (pow x 2)) 8)))))
(* -1 (pow x 10))
(* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))
(* -1 (pow x 10))
(* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))
8
(+ 8 (pow x 6))
(+ 8 (pow x 6))
(+ 8 (pow x 6))
(pow x 6)
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(pow x 6)
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(/ 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 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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) (- (* 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))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 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))
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 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* 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))
(* 1/24 (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)))))
(* 1/720 (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))
(* 1/576 (pow x 2))
(* (pow x 2) (+ 1/576 (* -1/518400 (pow x 4))))
(* (pow x 2) (+ 1/576 (* -1/518400 (pow x 4))))
(* (pow x 2) (+ 1/576 (* -1/518400 (pow x 4))))
(* -1/518400 (pow x 6))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* -1/518400 (pow x 6))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
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) (- (* 1/2 (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 1/2 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (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 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/ -32 (pow x 10))
(/.f64 #s(literal -32 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))
(/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))
(/.f64 (+.f64 #s(literal -32 binary64) (/.f64 (+.f64 #s(literal -64 binary64) (/.f64 #s(literal -256 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal -512 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 10 binary64)))
(/ -32 (pow x 10))
(/.f64 #s(literal -32 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))
(/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))
(/.f64 (+.f64 #s(literal -32 binary64) (/.f64 (+.f64 #s(literal -64 binary64) (/.f64 #s(literal -256 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal -512 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 10 binary64)))
32
#s(literal 32 binary64)
(+ 32 (* 16 (pow x 2)))
(+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
(+ 32 (* (pow x 2) (+ 16 (* -8 (pow x 2)))))
(+.f64 #s(literal 32 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(+ 32 (* (pow x 2) (+ 16 (* (pow x 2) (- (* 4 (pow x 2)) 8)))))
(+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))))
(* -1 (pow x 10))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -1 (pow x 10))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
8
#s(literal 8 binary64)
(+ 8 (pow x 6))
(+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(+ 8 (pow x 6))
(+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(+ 8 (pow x 6))
(+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.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) (- (* 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 (* -1/12 (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 -1/12 binary64)))))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
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(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (+ 1/576 (* -1/518400 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))
(* (pow x 2) (+ 1/576 (* -1/518400 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))
(* (pow x 2) (+ 1/576 (* -1/518400 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))
(* -1/518400 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/518400 binary64))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1/518400 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/518400 binary64))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))

eval156.0ms (1.9%)

Compiler

Compiled 30313 to 2718 computations (91% saved)

prune117.0ms (1.4%)

Pruning

31 alts after pruning (20 fresh and 11 done)

PrunedKeptTotal
New1004151019
Fresh5510
Picked145
Done077
Total1010311041
Accuracy
100.0%
Counts
1041 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.1%
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
94.2%
(/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
39.1%
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
✓24.2%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
41.9%
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
✓37.9%
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
50.4%
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))))
53.2%
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
54.4%
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
60.6%
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
91.2%
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))))
94.5%
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓94.5%
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
55.2%
(/.f64 #s(literal 32 binary64) (*.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
39.3%
(/.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
✓39.3%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓87.1%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
✓72.4%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓39.6%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
✓24.9%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
24.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
91.2%
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
91.2%
(/.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))))))) #s(literal 1 binary64)))
70.1%
(/.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 binary64) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))))))))
91.2%
(/.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 (*.f64 x x) #s(literal 1/720 binary64))))))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓50.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
39.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
39.1%
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
24.2%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓51.1%
#s(literal 1 binary64)
Compiler

Compiled 1913 to 591 computations (69.1% saved)

regimes41.0ms (0.5%)

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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 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 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x 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 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 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 (*.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 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 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))))))) #s(literal 1 binary64)))
(/.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 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.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 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.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 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -8 binary64))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 4 binary64))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

13.0ms
x
11.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms
(/.f64 #s(literal 2 binary64) (+.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
43 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 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 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x 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 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 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 (*.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 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 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))))))) #s(literal 1 binary64)))
(/.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 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.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 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.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 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -8 binary64))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 4 binary64))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))))
Outputs
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
97.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes31.0ms (0.4%)

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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 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 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x 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 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 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 (*.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 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 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))))))) #s(literal 1 binary64)))
(/.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 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.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 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.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 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -8 binary64))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
Outputs
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
97.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
34 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 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 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x 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 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 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 (*.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 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 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))))))) #s(literal 1 binary64)))
(/.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 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.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 (*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (*.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 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -8 binary64))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
Outputs
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
94.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
27 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 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 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x 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 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 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 (*.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 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 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))))))) #s(literal 1 binary64)))
(/.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 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
Outputs
(/.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 x (*.f64 x #s(literal 1/720 binary64)))))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
91.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
22 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 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 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x 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 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 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 (*.f64 x x) #s(literal 1/720 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 (*.f64 x x) #s(literal 1/720 binary64))))))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
91.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
21 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 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 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x 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 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))) x)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
Outputs
(/.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 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
91.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
17 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 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 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
91.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
16 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 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 x (*.f64 x #s(literal 1/12 binary64))))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
87.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
15 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.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 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
87.1%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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 24 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 24 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
87.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 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:

3.0ms
x
Results
AccuracySegmentsBranch
72.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
6 → 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 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
72.4%2x
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
72.3%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
51.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch7.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
6.0ms
2.1109608552004727e+30
7.454003438629848e+30
Results
4.0ms64×0valid
Compiler

Compiled 421 to 186 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (50.2% 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
2.127505541309317e+75
1.4371061612165144e+79
Results
12.0ms128×0valid
Compiler

Compiled 509 to 242 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-neg: 4.0ms (51.1% of total)
ival-div: 1.0ms (12.8% of total)
ival-exp: 1.0ms (12.8% of total)
ival-add: 1.0ms (12.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
293.2709830565522
4345406.903643708
Results
9.0ms128×0valid
Compiler

Compiled 269 to 162 computations (39.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (40.4% of total)
ival-div: 1.0ms (20.2% of total)
ival-add: 1.0ms (20.2% of total)
ival-neg: 1.0ms (20.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
293.2709830565522
4345406.903643708
Results
13.0ms128×0valid
Compiler

Compiled 205 to 122 computations (40.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 7.0ms (76.5% of total)
ival-div: 1.0ms (10.9% of total)
ival-add: 1.0ms (10.9% of total)
ival-neg: 1.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
7.7538790980071e-6
3.861440257968249
Results
13.0ms144×0valid
Compiler

Compiled 229 to 172 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (57% of total)
ival-div: 1.0ms (19% of total)
ival-add: 1.0ms (19% of total)
ival-neg: 1.0ms (19% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
7.7538790980071e-6
3.861440257968249
Results
10.0ms144×0valid
Compiler

Compiled 193 to 136 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (56% of total)
ival-div: 1.0ms (18.7% of total)
ival-add: 1.0ms (18.7% of total)
ival-neg: 1.0ms (18.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
7.7538790980071e-6
3.861440257968249
Results
10.0ms144×0valid
Compiler

Compiled 157 to 118 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (55.8% of total)
ival-div: 1.0ms (18.6% of total)
ival-add: 1.0ms (18.6% of total)
ival-neg: 1.0ms (18.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
45.0ms
7.7538790980071e-6
3.861440257968249
Results
10.0ms144×0valid
Compiler

Compiled 103 to 82 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (54.2% of total)
ival-div: 1.0ms (18.1% of total)
ival-add: 1.0ms (18.1% of total)
ival-neg: 1.0ms (18.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
86×*-commutative_binary64
62×+-commutative_binary64
32×distribute-lft-neg-in_binary64
32×distribute-rgt-neg-in_binary64
30×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105382
1169382
2203382
3237382
4259382
5271382
6275382
7276382
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 7000000000000000420667350581248 binary64)) (/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))) (/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(if (<=.f64 x #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.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 x (*.f64 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 (*.f64 x x) #s(literal 1/720 binary64))))))))
(if (<=.f64 x #s(literal 700 binary64)) (/.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 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 700 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 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 7000000000000000420667350581248 binary64)) (/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))) (/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(if (<=.f64 x #s(literal 7000000000000000420667350581248 binary64)) (/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 4 binary64)))))) (/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(if (<=.f64 x #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 4 binary64)))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.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 x (*.f64 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 (*.f64 x x) #s(literal 1/720 binary64))))))))
(if (<=.f64 x #s(literal 700 binary64)) (/.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 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 700 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 700 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.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)))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness2.2s (26.1%)

Rules
4970×*-lowering-*.f32
4970×*-lowering-*.f64
4804×*-lowering-*.f32
4804×*-lowering-*.f64
3916×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02172225
16121852
216521821
371591821
082491821
01769
111662
293361
0861061
0717
13714
227713
3260613
0973413
066303
1170273
2462273
31282273
42683273
54417273
67123273
08046273
01131079
1315885
2890859
32570859
45182859
08098859
046253
1291175
22382162
08191162
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 900 to 430 computations (52.2% saved)

preprocess110.0ms (1.3%)

Remove

(abs x)

Compiler

Compiled 804 to 240 computations (70.1% saved)

end0.0ms (0%)

Profiling

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