exp2 (problem 3.3.7)

Time bar (total: 12.9s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

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

sample4.0s (30.9%)

Results
2.8s5715×2valid
823.0ms2379×1valid
13.0ms162×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-exp: 1.8s (67.1% of total)
backward-pass: 282.0ms (10.7% of total)
ival-sub: 164.0ms (6.2% of total)
ival-neg: 160.0ms (6.1% of total)
ival-add: 128.0ms (4.8% of total)
ival-fabs: 63.0ms (2.4% of total)
ival-<=: 57.0ms (2.2% of total)
const: 19.0ms (0.7% of total)
Bogosity

preprocess61.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
296×fnmadd-define
294×fmsub-define
290×fnmsub-define
290×fnmadd-define
282×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
14022
210122
325822
463322
5112822
6135522
7140422
078
1197
2377
3627
41167
52147
64987
79507
811617
912327
1012467
012467
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (- (exp x) 2) (exp (neg x)))
Outputs
(+ (- (exp x) 2) (exp (neg x)))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
Call 2
Inputs
(+ (- (exp x) 2) (exp (neg x)))
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))
Outputs
(+ (- (exp x) 2) (exp (neg x)))
(sum3 (exp x) (recip (exp x)) -2)
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(sum3 (exp x) (recip (exp x)) -2)
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))
(- (- 2 (recip (exp x))) (exp x))
Symmetry

(abs x)

explain429.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1410-0-(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(-.f64 (exp.f64 x) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
Results
275.0ms362×2valid
110.0ms138×1valid
1.0ms12×0valid
Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 305.0ms
ival-exp: 152.0ms (49.8% of total)
ival-sub: 92.0ms (30.2% of total)
ival-add: 32.0ms (10.5% of total)
backward-pass: 21.0ms (6.9% of total)
ival-neg: 7.0ms (2.3% of total)
const: 1.0ms (0.3% 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
▶51.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶51.6%
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify36.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(exp.f64 (neg.f64 x))
✓cost-diff-64
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
Rules
296×fnmadd-define
270×sum3-define
252×fmsub-define
244×fma-lowering-fma.f32
244×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
12840
24640
36740
411740
521440
649740
794840
8115940
9123040
10124440
0124440
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (exp x) (+ (/ 1 (exp x)) -2))
(exp x)
x
(+ (/ 1 (exp x)) -2)
(/ 1 (exp x))
1
-2
(+ (- (exp x) 2) (exp (neg x)))
(- (exp x) 2)
(exp x)
x
2
(exp (neg x))
(neg x)
Outputs
(+ (exp x) (+ (/ 1 (exp x)) -2))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(exp x)
(exp.f64 x)
x
(+ (/ 1 (exp x)) -2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
-2
#s(literal -2 binary64)
(+ (- (exp x) 2) (exp (neg x)))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp x)
(exp.f64 x)
x
2
#s(literal 2 binary64)
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize207.0ms (1.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓accuracy51.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓accuracy51.6%
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
Results
157.0ms181×2valid
28.0ms69×1valid
1.0ms6×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-exp: 55.0ms (52% of total)
backward-pass: 23.0ms (21.7% of total)
ival-add: 11.0ms (10.4% of total)
ival-div: 9.0ms (8.5% of total)
ival-sub: 4.0ms (3.8% of total)
ival-neg: 3.0ms (2.8% of total)
const: 2.0ms (1.9% of total)

series3.0ms (0%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (+ (exp x) (+ (/ 1 (exp x)) -2))>
#<alt (exp x)>
#<alt (+ (/ 1 (exp x)) -2)>
#<alt (/ 1 (exp x))>
#<alt (- (exp x) 2)>
#<alt (+ (- (exp x) 2) (exp (neg x)))>
#<alt (exp (neg x))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<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 x) 1)>
#<alt (- (* x (- (* 1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<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))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+ (exp x) (+ (/ 1 (exp x)) -2))
0.0ms
x
@0
(+ (exp x) (+ (/ 1 (exp x)) -2))
0.0ms
x
@inf
(+ (exp x) (+ (/ 1 (exp x)) -2))
0.0ms
x
@inf
(+ (- (exp x) 2) (exp (neg x)))
0.0ms
x
@0
(+ (- (exp x) 2) (exp (neg x)))

rewrite372.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3818×/-lowering-/.f32
3818×/-lowering-/.f64
3478×*-lowering-*.f32
3478×*-lowering-*.f64
2196×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01233
18329
283227
0888727
Stop Event
1×iter limit
1×node limit
Counts
7 → 513
Calls
Call 1
Inputs
(+ (exp x) (+ (/ 1 (exp x)) -2))
(exp x)
(+ (/ 1 (exp x)) -2)
(/ 1 (exp x))
(- (exp x) 2)
(+ (- (exp x) 2) (exp (neg x)))
(exp (neg x))
Outputs
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))))
(-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))) (exp.f64 x))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))) (+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x)))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x)))))))
(*.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (exp.f64 x) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(*.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (exp.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 x))))
(*.f64 (+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(*.f64 (+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))
(*.f64 (+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))))
(*.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))))
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))

simplify177.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1978×+-lowering-+.f64
1978×+-lowering-+.f32
1744×sum3-define
1528×*-lowering-*.f32
1528×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067495
1193430
2534423
31519423
42668423
56029423
67672423
08134423
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow 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))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
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 x) 1)
(- (* x (- (* 1/2 x) 1)) 1)
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 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)
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))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.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))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 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 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* 1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.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))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(exp (neg x))
(/.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))

eval93.0ms (0.7%)

Compiler

Compiled 15820 to 1183 computations (92.5% saved)

prune76.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New6429651
Fresh000
Picked112
Done000
Total64310653
Accuracy
100.0%
Counts
653 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.5%
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)))
51.5%
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
▶51.5%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓51.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
50.0%
(+.f64 (exp.f64 x) #s(literal -1 binary64))
▶99.4%
(*.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))))))
▶99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
99.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
▶98.3%
(*.f64 x x)
Compiler

Compiled 303 to 173 computations (42.9% saved)

simplify159.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓cost-diff0
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))
✓cost-diff26432
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)))
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓cost-diff0
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
Rules
2612×+-lowering-+.f64
2612×+-lowering-+.f32
1802×*-lowering-*.f32
1802×*-lowering-*.f64
1352×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034216
1113193
2363191
31118191
43104191
56781191
08093191
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
(* x x)
x
(+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))))
1
(* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))
(+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))
1/12
(* x (* x (+ 1/360 (* x (* x 1/20160)))))
(* x (+ 1/360 (* x (* x 1/20160))))
(+ 1/360 (* x (* x 1/20160)))
1/360
(* x (* x 1/20160))
(* x 1/20160)
1/20160
(* x x)
x
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(* x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
1
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360
(- (* 2 (cosh x)) 2)
(* 2 (cosh x))
2
(cosh x)
x
(/ (- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2))) (- (+ (/ 1 (exp x)) -2) (exp x)))
(- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2)))
(pow (+ (/ 1 (exp x)) -2) 2)
(+ (/ 1 (exp x)) -2)
(/ 1 (exp x))
1
(exp x)
x
-2
2
(exp (* x 2))
(* x 2)
(- (+ (/ 1 (exp x)) -2) (exp x))
Outputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
1/12
#s(literal 1/12 binary64)
(* x (* x (+ 1/360 (* x (* x 1/20160)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* x (+ 1/360 (* x (* x 1/20160))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(+ 1/360 (* x (* x 1/20160)))
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* x (* x 1/20160))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(* x x)
(*.f64 x x)
x
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(- (* 2 (cosh x)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(* 2 (cosh x))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
2
#s(literal 2 binary64)
(cosh x)
(cosh.f64 x)
x
(/ (- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2))) (- (+ (/ 1 (exp x)) -2) (exp x)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2)))
(-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(pow (+ (/ 1 (exp x)) -2) 2)
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ (/ 1 (exp x)) -2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
(exp x)
(exp.f64 x)
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(exp (* x 2))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
(- (+ (/ 1 (exp x)) -2) (exp x))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))

localize577.0ms (4.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓accuracy100.0%
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)))
✓accuracy51.7%
(-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy51.5%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓accuracy100.0%
(*.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))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
Results
427.0ms179×2valid
82.0ms71×1valid
3.0ms6×0valid
Compiler

Compiled 271 to 35 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 258.0ms
backward-pass: 51.0ms (19.8% of total)
ival-mult: 50.0ms (19.4% of total)
ival-cosh: 45.0ms (17.5% of total)
ival-exp: 27.0ms (10.5% of total)
...c/correct-round.rkt:119:19: 24.0ms (9.3% of total)
ival-add: 19.0ms (7.4% of total)
ival-div: 17.0ms (6.6% of total)
ival-sub: 15.0ms (5.8% of total)
ival-pow: 8.0ms (3.1% of total)
const: 2.0ms (0.8% of total)

series19.0ms (0.1%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))>
#<alt (* x x)>
#<alt (+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))))>
#<alt (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))>
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))>
#<alt (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) 1/360)))>
#<alt (- (* 2 (cosh x)) 2)>
#<alt (* 2 (cosh x))>
#<alt (cosh x)>
#<alt (/ (- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2))) (- (+ (/ 1 (exp x)) -2) (exp x)))>
#<alt (- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2)))>
#<alt (pow (+ (/ 1 (exp x)) -2) 2)>
#<alt (+ (/ 1 (exp x)) -2)>
#<alt (* x (+ 1/360 (* x (* x 1/20160))))>
#<alt (* x (* x (+ 1/360 (* x (* x 1/20160)))))>
#<alt (* x (* x 1/20160))>
#<alt (* (* x x) 1/360)>
#<alt (+ 1/12 (* (* x x) 1/360))>
#<alt (/ 1 (exp x))>
#<alt (- (+ (/ 1 (exp x)) -2) (exp x))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<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 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<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) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))>
#<alt (/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))>
#<alt (/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))>
#<alt (/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))>
#<alt (/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))>
#<alt (/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))>
#<alt (/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))>
#<alt (/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* -2 x) 2))>
#<alt (* (pow x 2) (- (* x (- (* -1/6 x) 2)) 2))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -1/2 x) 1/6)) 2)) 2))>
#<alt (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))>
#<alt (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))>
#<alt (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))>
#<alt (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))>
#<alt (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))>
#<alt (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))>
#<alt (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))>
#<alt (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* -2/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 2 (* (pow x 2) (- (* 1/2 x) 2/3)))))>
#<alt (pow (- (/ 1 (exp x)) 2) 2)>
#<alt (pow (- (/ 1 (exp x)) 2) 2)>
#<alt (pow (- (/ 1 (exp x)) 2) 2)>
#<alt (pow (- (/ 1 (exp x)) 2) 2)>
#<alt (pow (- (/ 1 (exp x)) 2) 2)>
#<alt (pow (- (/ 1 (exp x)) 2) 2)>
#<alt (pow (- (/ 1 (exp x)) 2) 2)>
#<alt (pow (- (/ 1 (exp x)) 2) 2)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* 1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt -2>
#<alt (- (* -2 x) 2)>
#<alt (- (* x (- (* -1/3 (pow x 2)) 2)) 2)>
#<alt (- (* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2)) 2)>
#<alt (- (/ 1 (exp x)) (+ 2 (exp x)))>
#<alt (- (/ 1 (exp x)) (+ 2 (exp x)))>
#<alt (- (/ 1 (exp x)) (+ 2 (exp x)))>
#<alt (- (/ 1 (exp x)) (+ 2 (exp x)))>
#<alt (- (/ 1 (exp x)) (+ 2 (exp x)))>
#<alt (- (/ 1 (exp x)) (+ 2 (exp x)))>
#<alt (- (/ 1 (exp x)) (+ 2 (exp x)))>
#<alt (- (/ 1 (exp x)) (+ 2 (exp x)))>
Calls

63 calls:

TimeVariablePointExpression
5.0ms
x
@0
(* 2 (cosh x))
1.0ms
x
@inf
(/ (- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2))) (- (+ (/ 1 (exp x)) -2) (exp x)))
1.0ms
x
@-inf
(/ (- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2))) (- (+ (/ 1 (exp x)) -2) (exp x)))
1.0ms
x
@inf
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
1.0ms
x
@-inf
(- (* 2 (cosh x)) 2)

rewrite370.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3128×*-lowering-*.f32
3128×*-lowering-*.f64
2586×fma-lowering-fma.f32
2586×fma-lowering-fma.f64
2104×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034167
1243148
22202146
08729146
Stop Event
1×iter limit
1×node limit
Counts
21 → 872
Calls
Call 1
Inputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))))
(* x x)
(+ 1 (* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160))))))))
(* (* x x) (+ 1/12 (* x (* x (+ 1/360 (* x (* x 1/20160)))))))
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(- (* 2 (cosh x)) 2)
(* 2 (cosh x))
(cosh x)
(/ (- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2))) (- (+ (/ 1 (exp x)) -2) (exp x)))
(- (pow (+ (/ 1 (exp x)) -2) 2) (exp (* x 2)))
(pow (+ (/ 1 (exp x)) -2) 2)
(+ (/ 1 (exp x)) -2)
(* x (+ 1/360 (* x (* x 1/20160))))
(* x (* x (+ 1/360 (* x (* x 1/20160)))))
(* x (* x 1/20160))
(* (* x x) 1/360)
(+ 1/12 (* (* x x) 1/360))
(/ 1 (exp x))
(- (+ (/ 1 (exp x)) -2) (exp x))
Outputs
(+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))
(fma.f64 x x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
(fma.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x x))
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(/.f64 (+.f64 (*.f64 (-.f64 #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (*.f64 (+.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (exp.f64 x)))) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (exp.f64 x)))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 x)) (*.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
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(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal -8 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) (exp.f64 x)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) (exp.f64 x)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))) (exp.f64 x))) (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (exp.f64 x))) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 x))) (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))))
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(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))))

simplify242.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3758×*-lowering-*.f32
3758×*-lowering-*.f64
2644×+-lowering-+.f64
2644×+-lowering-+.f32
1670×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01572233
14841865
213501832
339211832
089901832
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(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 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow 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))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
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) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (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))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))
(/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))
(/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))
(/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))
(/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))
(/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))
(/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))
(/ (- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x))) (- (/ 1 (exp x)) (+ 2 (exp x))))
(* -2 (pow x 2))
(* (pow x 2) (- (* -2 x) 2))
(* (pow x 2) (- (* x (- (* -1/6 x) 2)) 2))
(* (pow x 2) (- (* x (- (* x (- (* -1/2 x) 1/6)) 2)) 2))
(- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))
(- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))
(- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))
(- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))
(- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))
(- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))
(- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))
(- (pow (- (/ 1 (exp x)) 2) 2) (exp (* 2 x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* -2/3 (pow x 2)))))
(+ 1 (* x (+ 2 (* (pow x 2) (- (* 1/2 x) 2/3)))))
(pow (- (/ 1 (exp x)) 2) 2)
(pow (- (/ 1 (exp x)) 2) 2)
(pow (- (/ 1 (exp x)) 2) 2)
(pow (- (/ 1 (exp x)) 2) 2)
(pow (- (/ 1 (exp x)) 2) 2)
(pow (- (/ 1 (exp x)) 2) 2)
(pow (- (/ 1 (exp x)) 2) 2)
(pow (- (/ 1 (exp x)) 2) 2)
-1
(- (* -1 x) 1)
(- (* x (- (* 1/2 x) 1)) 1)
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
-2
(- (* -2 x) 2)
(- (* x (- (* -1/3 (pow x 2)) 2)) 2)
(- (* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2)) 2)
(- (/ 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)) (+ 2 (exp x)))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (*.f64 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)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(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 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (*.f64 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)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (*.f64 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)))))))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
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(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
-2
#s(literal -2 binary64)
(- (* -2 x) 2)
(+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))
(- (* x (- (* -1/3 (pow x 2)) 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(- (* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -1/60 binary64))))))))
(- (/ 1 (exp x)) (+ 2 (exp x)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(- (/ 1 (exp x)) (+ 2 (exp x)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(- (/ 1 (exp x)) (+ 2 (exp x)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(- (/ 1 (exp x)) (+ 2 (exp x)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(- (/ 1 (exp x)) (+ 2 (exp x)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(- (/ 1 (exp x)) (+ 2 (exp x)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(- (/ 1 (exp x)) (+ 2 (exp x)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(- (/ 1 (exp x)) (+ 2 (exp x)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))

eval156.0ms (1.2%)

Compiler

Compiled 42233 to 3060 computations (92.8% saved)

prune144.0ms (1.1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New1296131309
Fresh224
Picked055
Done011
Total1298211319
Accuracy
100.0%
Counts
1319 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.5%
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)))
▶99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
50.8%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
51.0%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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)))))))) #s(literal 2 binary64))
▶50.4%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓51.5%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓51.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
50.0%
(+.f64 (exp.f64 x) #s(literal -1 binary64))
51.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
▶99.6%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))) x)
99.4%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x)
99.6%
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))))
99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
✓99.4%
(*.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))))))
✓99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
▶99.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
99.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
▶50.0%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
49.7%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
✓98.3%
(*.f64 x x)
Compiler

Compiled 878 to 410 computations (53.3% saved)

simplify188.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (*.f64 x x))
✓cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓cost-diff256
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
✓cost-diff0
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))) x)
Rules
3292×*-lowering-*.f32
3292×*-lowering-*.f64
3228×+-lowering-+.f64
3228×+-lowering-+.f32
1378×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041475
1162371
2707365
33317364
46310362
08068362
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))) x)
(* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))))
x
(+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
1
(* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))
(* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
1/12
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(* x x)
(+ 1/360 (* x (* x 1/20160)))
1/360
(* x (* x 1/20160))
(* x 1/20160)
1/20160
(- (+ 2 (* x x)) 2)
(+ 2 (* x x))
2
(* x x)
x
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(* x x)
x
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))
(* x x)
x
(+ 1 (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160))))))
1
(* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))
(+ 1/12 (* x (* x (* (* x x) 1/20160))))
1/12
(* x (* x (* (* x x) 1/20160)))
(* x (* (* x x) 1/20160))
(* (* x x) 1/20160)
1/20160
(/ (* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x)) (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1))))
(* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x))
(+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360)))))))
1
(* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))
(* x (* x (+ 1/12 (* (* x x) 1/360))))
x
(* x (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
(* x x)
1/360
(* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360)))))
(* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))
(+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1)))
(* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1))
(- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1)
Outputs
(* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))
(* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))
x
(+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
1
#s(literal 1 binary64)
(* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
1/12
#s(literal 1/12 binary64)
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* x x)
(*.f64 x x)
(+ 1/360 (* x (* x 1/20160)))
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* x (* x 1/20160))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(- (+ 2 (* x x)) 2)
(*.f64 x x)
(+ 2 (* x x))
(+.f64 (*.f64 x x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* x x)
(*.f64 x x)
x
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))
(+ 1/12 (* x (* x (* (* x x) 1/20160))))
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))))
1/12
#s(literal 1/12 binary64)
(* x (* x (* (* x x) 1/20160)))
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))
(* x (* (* x x) 1/20160))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))
(* (* x x) 1/20160)
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(/ (* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x)) (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal -1 binary64))))))
(* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
(+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
1
#s(literal 1 binary64)
(* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
x
(* x (+ 1/12 (* (* x x) 1/360)))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* x x)
(*.f64 x x)
1/360
#s(literal 1/360 binary64)
(* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360)))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal -1 binary64)))))
(* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal -1 binary64))))
(- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal -1 binary64))

localize520.0ms (4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓accuracy99.6%
(*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
✓accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
✓accuracy100.0%
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy51.5%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
Results
417.0ms250×1valid
3.0ms6×0valid
Compiler

Compiled 625 to 42 computations (93.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-mult: 76.0ms (45.9% of total)
backward-pass: 30.0ms (18.1% of total)
...c/correct-round.rkt:119:19: 28.0ms (16.9% of total)
ival-add: 23.0ms (13.9% of total)
ival-sub: 5.0ms (3% of total)
ival-div: 4.0ms (2.4% of total)
const: 1.0ms (0.6% of total)

series18.0ms (0.1%)

Counts
27 → 324
Calls
Call 1
Inputs
#<alt (* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))) x)>
#<alt (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))))>
#<alt (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))>
#<alt (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))>
#<alt (- (+ 2 (* x x)) 2)>
#<alt (+ 2 (* x x))>
#<alt (* x x)>
#<alt (* (* x x) (* (* x x) (+ 1/12 (* (* x x) 1/360))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) 1/360)))>
#<alt (+ 1/12 (* (* x x) 1/360))>
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))>
#<alt (+ 1 (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160))))))>
#<alt (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))>
#<alt (/ (* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x)) (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1))))>
#<alt (* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x))>
#<alt (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360)))))))>
#<alt (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))>
#<alt (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))>
#<alt (* (* x x) (+ 1/360 (* x (* x 1/20160))))>
#<alt (* x (* x 1/20160))>
#<alt (* (* x x) 1/360)>
#<alt (* (* x x) 1/20160)>
#<alt (* x (* (* x x) 1/20160))>
#<alt (* x (* x (* (* x x) 1/20160)))>
#<alt (* x (+ 1/12 (* (* x x) 1/360)))>
#<alt (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))>
#<alt (* x (* x (+ 1/12 (* (* x x) 1/360))))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 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>
#<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 (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 (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/1728 (pow x 6))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 1/518400 (pow x 2))))))))>
#<alt (* 1/46656000 (pow x 14))>
#<alt (* (pow x 14) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))>
#<alt (* 1/46656000 (pow x 14))>
#<alt (* (pow x 14) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* 1/1728 (pow x 6)))>
#<alt (+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2)))))>
#<alt (+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 1/518400 (pow x 2)))))))>
#<alt (* 1/46656000 (pow x 12))>
#<alt (* (pow x 12) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))>
#<alt (* 1/46656000 (pow x 12))>
#<alt (* (pow x 12) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))>
#<alt (* 1/1728 (pow x 6))>
#<alt (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 1/518400 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* (pow x 2) (+ 1/518400 (* 1/46656000 (pow x 2))))))))>
#<alt (* 1/46656000 (pow x 12))>
#<alt (* (pow x 12) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))>
#<alt (* 1/46656000 (pow x 12))>
#<alt (* (pow x 12) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/144 (pow x 2))>
#<alt (* (pow x 2) (+ 1/144 (* 1/2160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))>
#<alt (* 1/129600 (pow x 6))>
#<alt (* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* 1/129600 (pow x 6))>
#<alt (* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) 1/360))))
3.0ms
x
@0
(/ (* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x)) (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1))))
1.0ms
x
@inf
(/ (* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x)) (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1))))
1.0ms
x
@inf
(* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))
0.0ms
x
@inf
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))

rewrite425.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
4858×*-lowering-*.f32
4858×*-lowering-*.f64
3422×/-lowering-/.f32
3422×/-lowering-/.f64
2526×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041347
1295259
22855259
010316259
Stop Event
1×iter limit
1×node limit
Counts
27 → 604
Calls
Call 1
Inputs
(* (* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))) x)
(* x (+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))))
(+ 1 (* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
(* x (* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))
(- (+ 2 (* x x)) 2)
(+ 2 (* x x))
(* x x)
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))))
(+ 1 (* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160))))))
(* (* x x) (+ 1/12 (* x (* x (* (* x x) 1/20160)))))
(/ (* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x)) (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (- (* x (* x (+ 1/12 (* (* x x) 1/360)))) 1))))
(* (+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))) (* x x))
(+ 1 (* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360)))))))
(* (* x (* x (+ 1/12 (* (* x x) 1/360)))) (* (* x x) (* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))))
(* x (+ 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(* x (* x 1/20160))
(* (* x x) 1/360)
(* (* x x) 1/20160)
(* x (* (* x x) 1/20160))
(* x (* x (* (* x x) 1/20160)))
(* x (+ 1/12 (* (* x x) 1/360)))
(* (* x (+ 1/12 (* (* x x) 1/360))) (* x (+ 1/12 (* (* x x) 1/360))))
(* x (* x (+ 1/12 (* (* x x) 1/360))))
Outputs
(+.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) x))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) x) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x)
(+.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) x))))
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simplify266.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
4738×*-lowering-*.f32
4738×*-lowering-*.f64
2728×+-lowering-+.f64
2728×+-lowering-+.f32
1552×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01802986
16572545
221012528
356022524
084502524
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 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
(+ 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)))))
(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)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4)))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/20160 (+ (* 1/12 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))
(* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))
(* (pow x 2) (+ 1/12 (* 1/20160 (pow x 4))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/20160 (* 1/12 (/ 1 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/1728 (pow x 6))))
(* (pow x 2) (+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 1/518400 (pow x 2))))))))
(* 1/46656000 (pow x 14))
(* (pow x 14) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))
(* 1/46656000 (pow x 14))
(* (pow x 14) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))
1
(+ 1 (* 1/1728 (pow x 6)))
(+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2)))))
(+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 1/518400 (pow x 2)))))))
(* 1/46656000 (pow x 12))
(* (pow x 12) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))
(* 1/46656000 (pow x 12))
(* (pow x 12) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))
(* 1/1728 (pow x 6))
(* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2))))
(* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 1/518400 (pow x 2))))))
(* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* (pow x 2) (+ 1/518400 (* 1/46656000 (pow x 2))))))))
(* 1/46656000 (pow x 12))
(* (pow x 12) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))
(* 1/46656000 (pow x 12))
(* (pow x 12) (+ 1/46656000 (* 1/518400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (* 1/518400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/46656000 (+ (/ 1/17280 (pow x 4)) (+ (* 1/518400 (/ 1 (pow x 2))) (* 1/1728 (/ 1 (pow x 6)))))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/144 (pow x 2))
(* (pow x 2) (+ 1/144 (* 1/2160 (pow x 2))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))
(* 1/129600 (pow x 6))
(* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* 1/129600 (pow x 6))
(* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
Outputs
(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 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
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(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 3))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 3))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/144 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/144 binary64))
(* (pow x 2) (+ 1/144 (* 1/2160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/2160 binary64))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2160 binary64) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))))))
(* (pow x 2) (+ 1/144 (* (pow x 2) (+ 1/2160 (* 1/129600 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2160 binary64) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64))))))
(* 1/129600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/129600 binary64))
(* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/129600 binary64) (/.f64 #s(literal 1/2160 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2160 binary64) (*.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (/.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2160 binary64) (*.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (/.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/129600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/129600 binary64))
(* (pow x 6) (+ 1/129600 (* 1/2160 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/129600 binary64) (/.f64 #s(literal 1/2160 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2160 binary64) (*.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (/.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/129600 (+ (/ 1/144 (pow x 4)) (* 1/2160 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2160 binary64) (*.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (/.f64 #s(literal 1/144 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))

eval300.0ms (2.3%)

Compiler

Compiled 100468 to 4750 computations (95.3% saved)

prune194.0ms (1.5%)

Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New169081698
Fresh2810
Picked145
Done066
Total1693261719
Accuracy
100.0%
Counts
1719 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.5%
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)))
99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))
99.3%
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
50.8%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
▶51.0%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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)))))))) #s(literal 2 binary64))
✓50.4%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓51.5%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓51.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶50.4%
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
▶50.0%
(+.f64 (exp.f64 x) #s(literal -1 binary64))
▶99.6%
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))) x)
51.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
99.0%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
✓99.6%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))) x)
99.4%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x)
98.3%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) x)
99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
✓99.4%
(*.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))))))
✓99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
✓99.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
99.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓50.0%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
▶49.7%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
50.0%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓98.3%
(*.f64 x x)
Compiler

Compiled 960 to 463 computations (51.8% saved)

simplify255.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(+.f64 (exp.f64 x) #s(literal -1 binary64))
✓cost-diff0
(*.f64 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))))))
✓cost-diff0
(*.f64 x (*.f64 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)))))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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))))))))
✓cost-diff256
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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)))))))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(+.f64 (*.f64 x x) #s(literal -2 binary64))
✓cost-diff256
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x)
✓cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64)))))
✓cost-diff0
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))) x)
Rules
4590×*-lowering-*.f32
4590×*-lowering-*.f64
3208×+-lowering-+.f64
3208×+-lowering-+.f32
1200×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042585
1146486
2551415
33747413
44374410
56237410
08434410
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)))) x)
(/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1))))
(* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x)
(+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))))
1
(* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))
(* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))
x
(* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))
(+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))
1/12
(* x (* x (+ 1/360 (* (* x x) 1/20160))))
(* x (+ 1/360 (* (* x x) 1/20160)))
(+ 1/360 (* (* x x) 1/20160))
1/360
(* (* x x) 1/20160)
(* x x)
1/20160
(* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))
(* x (* x (* x x)))
(* x (* x x))
(* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))
(+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)))
(* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1))
(- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)
(+ (+ (* x x) -2) 2)
(+ (* x x) -2)
(* x x)
x
-2
2
(* (* x x) (* (* x x) (* (* x x) 1/360)))
(* x x)
x
(* (* x x) (* (* x x) 1/360))
(* (* x x) 1/360)
1/360
(- (+ 2 (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))))) 2)
(+ 2 (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))))
2
(* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))))
x
(* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
1
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(* x x)
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360
(+ (exp x) -1)
(exp x)
x
-1
Outputs
(* (/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)))) x)
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) #s(literal -1 binary64)))))))
(/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) #s(literal -1 binary64)))))))
(* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))))))
(+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))))
1
#s(literal 1 binary64)
(* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))))
(* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
x
(* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
(+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
1/12
#s(literal 1/12 binary64)
(* x (* x (+ 1/360 (* (* x x) 1/20160))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(* x (+ 1/360 (* (* x x) 1/20160)))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(+ 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(* x x)
(*.f64 x x)
1/20160
#s(literal 1/20160 binary64)
(* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
(+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) #s(literal -1 binary64))))))
(* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) #s(literal -1 binary64)))))
(- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) #s(literal -1 binary64))
(+ (+ (* x x) -2) 2)
(*.f64 x x)
(+ (* x x) -2)
(+.f64 (*.f64 x x) #s(literal -2 binary64))
(* x x)
(*.f64 x x)
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(* (* x x) (* (* x x) (* (* x x) 1/360)))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* x x)
(*.f64 x x)
x
(* (* x x) (* (* x x) 1/360))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (* x x) 1/360)
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
1/360
#s(literal 1/360 binary64)
(- (+ 2 (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))))) 2)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))))))
(+ 2 (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))))))))
2
#s(literal 2 binary64)
(* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))))))
x
(* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))))))
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))))
(* x x)
(*.f64 x x)
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
1/360
#s(literal 1/360 binary64)
(+ (exp x) -1)
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(exp x)
(exp.f64 x)
x
-1
#s(literal -1 binary64)

localize553.0ms (4.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 x)
✓accuracy8.7%
(+.f64 (exp.f64 x) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x (*.f64 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)))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓accuracy51.5%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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)))))))) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
✓accuracy100.0%
(+.f64 (*.f64 x x) #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy51.6%
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
Results
436.0ms250×1valid
3.0ms6×0valid
Compiler

Compiled 791 to 43 computations (94.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-mult: 90.0ms (45.3% of total)
backward-pass: 31.0ms (15.6% of total)
...c/correct-round.rkt:119:19: 30.0ms (15.1% of total)
ival-add: 26.0ms (13.1% of total)
ival-exp: 11.0ms (5.5% of total)
ival-sub: 5.0ms (2.5% of total)
ival-div: 4.0ms (2% of total)
const: 2.0ms (1% of total)

series9.0ms (0.1%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (* (/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)))) x)>
#<alt (/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1))))>
#<alt (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x)>
#<alt (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))))>
#<alt (+ (+ (* x x) -2) 2)>
#<alt (+ (* x x) -2)>
#<alt (* x x)>
#<alt (* (* x x) (* (* x x) (* (* x x) 1/360)))>
#<alt (* (* x x) (* (* x x) 1/360))>
#<alt (* (* x x) 1/360)>
#<alt (- (+ 2 (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))))) 2)>
#<alt (+ 2 (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))))>
#<alt (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))))>
#<alt (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))>
#<alt (+ (exp x) -1)>
#<alt (exp x)>
#<alt (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))>
#<alt (* x (+ 1/360 (* (* x x) 1/20160)))>
#<alt (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))>
#<alt (* x (* x (+ 1/360 (* (* x x) 1/20160))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) 1/360)))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/1728 (pow x 6))))>
#<alt (* x (+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 43/14515200 (pow x 2))))))))>
#<alt (* 1/8193540096000 (pow x 19))>
#<alt (* (pow x 19) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 19) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (* 1/48771072000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 19) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (+ (* 1/48771072000 (/ 1 (pow x 2))) (* 59/653184000 (/ 1 (pow x 6)))))))>
#<alt (* 1/8193540096000 (pow x 19))>
#<alt (* (pow x 19) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 19) (- (* -1 (/ (+ 1/48771072000 (* 43/24385536000 (/ 1 (pow x 2)))) (pow x 2))) 1/8193540096000)))>
#<alt (* -1 (* (pow x 19) (- (* -1 (/ (+ 43/24385536000 (* 59/653184000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/1728 (pow x 6)))>
#<alt (+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2)))))>
#<alt (+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 43/14515200 (pow x 2)))))))>
#<alt (* 1/8193540096000 (pow x 18))>
#<alt (* (pow x 18) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (* 1/48771072000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (+ (* 1/48771072000 (/ 1 (pow x 2))) (* 59/653184000 (/ 1 (pow x 6)))))))>
#<alt (* 1/8193540096000 (pow x 18))>
#<alt (* (pow x 18) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (* 1/48771072000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (+ (* 1/48771072000 (/ 1 (pow x 2))) (* 59/653184000 (/ 1 (pow x 6)))))))>
#<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>
#<alt (- (pow x 2) 2)>
#<alt (- (pow x 2) 2)>
#<alt (- (pow x 2) 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 (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 (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<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 (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
Calls

63 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* (/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)))) x)
0.0ms
x
@0
(* (/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)))) x)
0.0ms
x
@0
(* (* x x) (* (* x x) (* (* x x) 1/360)))
0.0ms
x
@0
(* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x)
0.0ms
x
@-inf
(* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x)

rewrite412.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
3616×*-lowering-*.f32
3616×*-lowering-*.f64
2464×/-lowering-/.f32
2464×/-lowering-/.f64
2282×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042369
1295251
22718247
08732247
Stop Event
1×iter limit
1×node limit
Counts
21 → 541
Calls
Call 1
Inputs
(* (/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1)))) x)
(/ (* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x) (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (- (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) 1))))
(* (+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))))) x)
(+ 1 (* (* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))) (* (* x (* x (* x x))) (* (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))) (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))))
(+ (+ (* x x) -2) 2)
(+ (* x x) -2)
(* x x)
(* (* x x) (* (* x x) (* (* x x) 1/360)))
(* (* x x) (* (* x x) 1/360))
(* (* x x) 1/360)
(- (+ 2 (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))))) 2)
(+ 2 (* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))))
(* x (* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))))
(* x (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(+ (exp x) -1)
(exp x)
(* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160))))))
(* x (+ 1/360 (* (* x x) 1/20160)))
(* x (* x (+ 1/12 (* x (* x (+ 1/360 (* (* x x) 1/20160)))))))
(* x (* x (+ 1/360 (* (* x x) 1/20160))))
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
Outputs
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(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))))) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) #s(literal -1 binary64)))))) x))
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(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
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(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
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(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
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(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) x))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x x)))
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(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
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(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) x)
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) x (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x x))

simplify307.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
3532×*-lowering-*.f32
3532×*-lowering-*.f64
2042×fma-define
1826×+-lowering-+.f64
1826×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01952226
16701891
221011857
366011843
082721843
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/1728 (pow x 6))))
(* x (+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2))))))
(* x (+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 43/14515200 (pow x 2))))))))
(* 1/8193540096000 (pow x 19))
(* (pow x 19) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))
(* (pow x 19) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (* 1/48771072000 (/ 1 (pow x 2))))))
(* (pow x 19) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (+ (* 1/48771072000 (/ 1 (pow x 2))) (* 59/653184000 (/ 1 (pow x 6)))))))
(* 1/8193540096000 (pow x 19))
(* (pow x 19) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 1/48771072000 (* 43/24385536000 (/ 1 (pow x 2)))) (pow x 2))) 1/8193540096000)))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 43/24385536000 (* 59/653184000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/1728 (pow x 6)))
(+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2)))))
(+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 43/14515200 (pow x 2)))))))
(* 1/8193540096000 (pow x 18))
(* (pow x 18) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (* 1/48771072000 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (+ (* 1/48771072000 (/ 1 (pow x 2))) (* 59/653184000 (/ 1 (pow x 6)))))))
(* 1/8193540096000 (pow x 18))
(* (pow x 18) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (* 1/48771072000 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (+ (* 1/48771072000 (/ 1 (pow x 2))) (* 59/653184000 (/ 1 (pow x 6)))))))
(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)
(* (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)))))
(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)
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
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)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
x
(* x (+ 1 (* 1/1728 (pow x 6))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/1728 binary64)))
(* x (+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2))))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/1728 binary64) (*.f64 x (*.f64 x #s(literal 1/17280 binary64))))))
(* x (+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 43/14515200 (pow x 2))))))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/17280 binary64) (*.f64 (*.f64 x x) #s(literal 43/14515200 binary64)))))))
(* 1/8193540096000 (pow x 19))
(*.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 19 binary64)))
(* (pow x 19) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal 1/8193540096000 binary64) (/.f64 #s(literal 1/48771072000 binary64) (*.f64 x x))))
(* (pow x 19) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (* 1/48771072000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 (/.f64 #s(literal 1/48771072000 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8193540096000 binary64) (/.f64 #s(literal 43/24385536000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 19) (+ 1/8193540096000 (+ (/ 43/24385536000 (pow x 4)) (+ (* 1/48771072000 (/ 1 (pow x 2))) (* 59/653184000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal 1/8193540096000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/48771072000 binary64) (*.f64 x x)) (/.f64 #s(literal 43/24385536000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 59/653184000 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/8193540096000 (pow x 19))
(*.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 19 binary64)))
(* (pow x 19) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal 1/8193540096000 binary64) (/.f64 #s(literal 1/48771072000 binary64) (*.f64 x x))))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 1/48771072000 (* 43/24385536000 (/ 1 (pow x 2)))) (pow x 2))) 1/8193540096000)))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal 1/8193540096000 binary64) (/.f64 (+.f64 #s(literal 1/48771072000 binary64) (/.f64 #s(literal 43/24385536000 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 43/24385536000 (* 59/653184000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/8193540096000 (* 1/48771072000 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 (+.f64 #s(literal 1/8193540096000 binary64) (/.f64 #s(literal 1/48771072000 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 43/24385536000 binary64) (/.f64 #s(literal 59/653184000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/1728 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)))
(+ 1 (* (pow x 6) (+ 1/1728 (* 1/17280 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728 binary64) (*.f64 x (*.f64 x #s(literal 1/17280 binary64))))))
(+ 1 (* (pow x 6) (+ 1/1728 (* (pow x 2) (+ 1/17280 (* 43/14515200 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/17280 binary64) (*.f64 (*.f64 x x) #s(literal 43/14515200 binary64)))))))
(* 1/8193540096000 (pow x 18))
(*.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 18 binary64)))
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(*.f64 (+.f64 #s(literal 1/8193540096000 binary64) (/.f64 #s(literal 1/48771072000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 18 binary64)))
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(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(* 1/20160 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* 1/20160 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))

eval429.0ms (3.3%)

Compiler

Compiled 147020 to 7426 computations (94.9% saved)

prune337.0ms (2.6%)

Pruning

29 alts after pruning (15 fresh and 14 done)

PrunedKeptTotal
New190651911
Fresh11011
Picked145
Done01010
Total1908291937
Accuracy
100.0%
Counts
1937 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.5%
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)))
99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))
99.3%
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
50.8%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))
✓51.0%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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)))))))) #s(literal 2 binary64))
✓50.4%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
✓51.5%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓51.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓50.4%
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
4.3%
(+.f64 (*.f64 x x) #s(literal 2 binary64))
✓99.6%
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))) x)
99.4%
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))))) x)
51.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
99.0%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
✓99.6%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))) x)
99.4%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x)
98.3%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) x)
99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
✓99.4%
(*.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))))))
✓99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
✓99.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
99.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓50.0%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓49.7%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
50.0%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓98.3%
(*.f64 x x)
7.2%
(expm1.f64 x)
6.9%
x
Compiler

Compiled 1536 to 475 computations (69.1% saved)

regimes27.0ms (0.2%)

Counts
37 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x)
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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)))))))) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))) x)
(expm1.f64 x)
(+.f64 (exp.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) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))) x)
Calls

2 calls:

11.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
10.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Counts
26 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x)
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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)))))))) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64))))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))))
Outputs
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x)
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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)))))))) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) x)
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 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)))))))) #s(literal 2 binary64))
Outputs
(*.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))))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
Outputs
(*.f64 x x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
6.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
58×*-commutative_binary64
28×+-commutative_binary64
4×unsub-neg_binary64
4×sub-neg_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049177
194177
298177
3101177
4104177
5107177
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))) x)
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 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 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 x x)
x
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64))))) x)
(*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) #s(literal -1 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 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 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(*.f64 x x)
x

soundness1.4s (11%)

Rules
4858×*-lowering-*.f32
4858×*-lowering-*.f64
3532×*-lowering-*.f32
3532×*-lowering-*.f64
3422×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078
1197
2377
3627
41167
52147
64987
79507
811617
912327
1012467
012467
01952226
16701891
221011857
366011843
082721843
041347
1295259
22855259
010316259
034167
1243148
22202146
08729146
067495
1193430
2534423
31519423
42668423
56029423
67672423
08134423
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×saturated
Compiler

Compiled 363 to 170 computations (53.2% saved)

preprocess53.0ms (0.4%)

Remove

(abs x)

Compiler

Compiled 1398 to 388 computations (72.2% saved)

end0.0ms (0%)

Profiling

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