Hyperbolic secant

Time bar (total: 7.9s)

analyze0.0ms (0%)

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

Compiled 10 to 8 computations (20% saved)

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

sample835.0ms (10.6%)

Results
614.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 355.0ms
ival-exp: 165.0ms (46.4% of total)
ival-div: 68.0ms (19.1% of total)
ival-neg: 56.0ms (15.8% of total)
ival-add: 52.0ms (14.6% of total)
const: 11.0ms (3.1% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess52.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

(abs x)

explain117.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
88.0ms512×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-div: 40.0ms (74.6% of total)
ival-exp: 8.0ms (14.9% of total)
ival-add: 3.0ms (5.6% of total)
ival-neg: 2.0ms (3.7% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize36.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
26.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 4.0ms (43.4% of total)
ival-div: 2.0ms (21.7% of total)
ival-add: 1.0ms (10.9% of total)
ival-neg: 1.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

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

15 calls:

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

rewrite291.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1976×+-lowering-+.f64
1976×+-lowering-+.f32
1892×*-lowering-*.f32
1892×*-lowering-*.f64
1330×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0717
12414
28213
331013
4142913
5533413
0821213
Stop Event
iter limit
node limit
Counts
5 → 575
Calls
Call 1
Inputs
(/ 2 (+ (exp x) (exp (neg x))))
(+ (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(neg x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (cosh.f64 x))))
(/.f64 #s(literal -2 binary64) (/.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 (cosh.f64 x) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (cosh.f64 x)) #s(literal 1/4 binary64))
(/.f64 (/.f64 #s(literal -1/4 binary64) (cosh.f64 x)) #s(literal -1/4 binary64))
(/.f64 #s(literal -1/4 binary64) (/.f64 (cosh.f64 x) #s(literal -4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (cosh.f64 x)))
(pow.f64 (/.f64 (/.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (cosh.f64 x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1/4 binary64) (cosh.f64 x)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (cosh.f64 x)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal -1/4 binary64) (cosh.f64 x)) #s(literal -4 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -4 binary64))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 x) (exp.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 x)) #s(literal -1 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(+.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x)))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)))))
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -1/2 binary64)))
(+.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 0 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
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(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -4 binary64)) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 #s(literal 4 binary64) (exp.f64 x)) (/.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) (exp.f64 x)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 8 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 (cosh.f64 x) #s(literal 4 binary64)) (exp.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/4 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 8 binary64) (exp.f64 x)) (/.f64 (/.f64 (cosh.f64 x) #s(literal 4 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (exp.f64 x)) (/.f64 #s(literal 1/4 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 #s(literal -8 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (/.f64 (cosh.f64 x) #s(literal 4 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 #s(literal 1/4 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(exp.f64 x)
(exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 (+.f64 x (log.f64 #s(literal -1 binary64)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.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))
(log.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) x))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 x (log.f64 #s(literal -1 binary64))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) x))) (log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(neg.f64 x)
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) x)

simplify231.0ms (2.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
066303
1170273
2462273
31279273
42678273
54412273
67117273
08040273
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval335.0ms (4.3%)

Compiler

Compiled 9163 to 1454 computations (84.1% saved)

prune72.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6296635
Fresh000
Picked101
Done000
Total6306636
Accuracy
100.0%
Counts
636 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.4%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
87.8%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
79.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
52.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
52.8%
#s(literal 1 binary64)
Compiler

Compiled 122 to 84 computations (31.1% saved)

simplify177.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
cost-diff0
(*.f64 x x)
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Rules
1742×fnmadd-define
1518×fma-define
1294×fmsub-define
1268×fnmsub-define
1244×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01893
14785
210384
321583
428783
530183
631283
736983
886383
9114083
10176783
11220983
12304683
13403583
14511283
15541783
16557883
17567383
18572283
19576283
20577883
0577883
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (cosh x))
1
(cosh x)
x
1
(+ 1 (* -1/2 (* x x)))
1
(* -1/2 (* x x))
-1/2
(* x x)
x
(/ 2 (+ 2 (* x x)))
2
(+ 2 (* x x))
(* x x)
x
(/ 2 (+ 2 (* x (* x (+ 1 (* (* x x) 1/12))))))
2
(+ 2 (* x (* x (+ 1 (* (* x x) 1/12)))))
(* x (* x (+ 1 (* (* x x) 1/12))))
x
(* x (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
(* x x)
1/12
Outputs
(/ 1 (cosh x))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
1
#s(literal 1 binary64)
(cosh x)
(cosh.f64 x)
x
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* -1/2 (* x x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
x
(/ 2 (+ 2 (* x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* x x))
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(* x x)
(*.f64 x x)
x
(/ 2 (+ 2 (* x (* x (+ 1 (* (* x x) 1/12))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
2
#s(literal 2 binary64)
(+ 2 (* x (* x (+ 1 (* (* x x) 1/12)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* x (* x (+ 1 (* (* x x) 1/12))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
x
(* x (+ 1 (* (* x x) 1/12)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)

localize215.0ms (2.7%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
accuracy99.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy99.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy100.0%
(cosh.f64 x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Results
140.0ms256×0valid
Compiler

Compiled 113 to 19 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 12.0ms (38.6% of total)
ival-div: 6.0ms (19.3% of total)
ival-add: 5.0ms (16.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (12.9% of total)
ival-cosh: 3.0ms (9.7% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ 1 (cosh x))>
#<alt (cosh x)>
#<alt (+ 1 (* -1/2 (* x x)))>
#<alt (* -1/2 (* x x))>
#<alt (* x x)>
#<alt (/ 2 (+ 2 (* x x)))>
#<alt (+ 2 (* x x))>
#<alt (/ 2 (+ 2 (* x (* x (+ 1 (* (* x x) 1/12))))))>
#<alt (+ 2 (* x (* x (+ 1 (* (* x x) 1/12)))))>
#<alt (* x (* x (+ 1 (* (* x x) 1/12))))>
#<alt (* x (+ 1 (* (* x x) 1/12)))>
#<alt (* (* x x) 1/12)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
Calls

36 calls:

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

rewrite291.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1864×*-lowering-*.f32
1864×*-lowering-*.f64
1780×fma-lowering-fma.f32
1780×fma-lowering-fma.f64
1606×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01871
17064
222263
372362
4206062
5746762
0808662
Stop Event
iter limit
node limit
Counts
12 → 508
Calls
Call 1
Inputs
(/ 1 (cosh x))
(cosh x)
(+ 1 (* -1/2 (* x x)))
(* -1/2 (* x x))
(* x x)
(/ 2 (+ 2 (* x x)))
(+ 2 (* x x))
(/ 2 (+ 2 (* x (* x (+ 1 (* (* x x) 1/12))))))
(+ 2 (* x (* x (+ 1 (* (* x x) 1/12)))))
(* x (* x (+ 1 (* (* x x) 1/12))))
(* x (+ 1 (* (* x x) 1/12)))
(* (* x x) 1/12)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(/.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 (cosh.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 (cosh.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 (cosh.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 (cosh.f64 x) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal -1/4 binary64) (cosh.f64 x)) #s(literal -1/4 binary64))
(/.f64 (/.f64 #s(literal 1/4 binary64) (cosh.f64 x)) #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -2 binary64))))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/4 binary64) (cosh.f64 x)) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) (cosh.f64 x)) #s(literal 4 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(+.f64 (cosh.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (cosh.f64 x))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(+.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (/.f64 (exp.f64 x) #s(literal -2 binary64)))
(cosh.f64 x)
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) #s(literal 0 binary64))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (exp.f64 (log.f64 #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal -4 binary64)) #s(literal -1/4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
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simplify281.0ms (3.6%)

Algorithm
egg-herbie
Rules
2908×*-lowering-*.f32
2908×*-lowering-*.f64
2050×/-lowering-/.f32
2050×/-lowering-/.f64
1460×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171109
1329925
2930912
32813890
47580890
08105890
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (/.f64 #s(literal -27648 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (/.f64 #s(literal -27648 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(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 (* 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 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 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 (* 1/12 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))

eval76.0ms (1%)

Compiler

Compiled 9739 to 1530 computations (84.3% saved)

prune162.0ms (2.1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New7128720
Fresh011
Picked145
Done000
Total71313726
Accuracy
100.0%
Counts
726 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.7%
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
38.2%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
87.8%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))))
93.4%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
87.8%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
79.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
38.5%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
38.2%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
29.9%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
93.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
52.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
52.8%
#s(literal 1 binary64)
Compiler

Compiled 291 to 185 computations (36.4% saved)

simplify155.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -288 binary64) (*.f64 x x))
cost-diff0
(+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x)))
cost-diff0
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff0
(-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64)))))
cost-diff0
(*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64)))))))
cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
cost-diff0
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
cost-diff128
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
Rules
2242×sum4-define
2188×fma-define
2022×sum3-define
1930×fma-lowering-fma.f32
1930×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035217
195190
2263186
3617183
41215183
52042183
65256183
76689183
08204183
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))
1
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))
(* x x)
x
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))
1/2
(* (* x x) (+ 1/24 (* (* x x) 1/720)))
(+ 1/24 (* (* x x) 1/720))
1/24
(* (* x x) 1/720)
1/720
(/ 2 (* x x))
2
(* x x)
x
(/ 2 (* x (* x (* (* x x) 1/12))))
2
(* x (* x (* (* x x) 1/12)))
x
(* x (* (* x x) 1/12))
(* (* x x) 1/12)
(* x x)
1/12
(/ 2 (+ 2 (* x (- x (* x (* x (* x -1/12)))))))
2
(+ 2 (* x (- x (* x (* x (* x -1/12))))))
(* x (- x (* x (* x (* x -1/12)))))
x
(- x (* x (* x (* x -1/12))))
(* x (* x (* x -1/12)))
(* x (* x -1/12))
(* x -1/12)
-1/12
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
(+ 24 (/ -288 (* x x)))
24
(/ -288 (* x x))
-288
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
Outputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
1
#s(literal 1 binary64)
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))
(* x x)
(*.f64 x x)
x
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ 1/24 (* (* x x) 1/720)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))
(+ 1/24 (* (* x x) 1/720))
(+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))
1/24
#s(literal 1/24 binary64)
(* (* x x) 1/720)
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
1/720
#s(literal 1/720 binary64)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(/ 2 (* x (* x (* (* x x) 1/12))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
2
#s(literal 2 binary64)
(* x (* x (* (* x x) 1/12)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
x
(* x (* (* x x) 1/12))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* (* x x) 1/12)
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)
(/ 2 (+ 2 (* x (- x (* x (* x (* x -1/12)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
2
#s(literal 2 binary64)
(+ 2 (* x (- x (* x (* x (* x -1/12))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* x (- x (* x (* x (* x -1/12)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
x
(- x (* x (* x (* x -1/12))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(* x (* x (* x -1/12)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* x (* x -1/12))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* x -1/12)
(*.f64 x #s(literal -1/12 binary64))
-1/12
#s(literal -1/12 binary64)
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(+ 24 (/ -288 (* x x)))
(+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x)))
24
#s(literal 24 binary64)
(/ -288 (* x x))
(/.f64 #s(literal -288 binary64) (*.f64 x x))
-288
#s(literal -288 binary64)
(* x x)
(*.f64 x x)
x
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))

localize312.0ms (4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
accuracy98.9%
(/.f64 #s(literal -288 binary64) (*.f64 x x))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))
accuracy99.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
accuracy99.7%
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
accuracy99.5%
(*.f64 x #s(literal -1/12 binary64))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.1%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
accuracy99.1%
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
Results
227.0ms256×0valid
Compiler

Compiled 262 to 36 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-mult: 94.0ms (70.4% of total)
...c/correct-round.rkt:119:19: 15.0ms (11.2% of total)
ival-div: 12.0ms (9% of total)
ival-sub: 6.0ms (4.5% of total)
ival-add: 6.0ms (4.5% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))>
#<alt (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))>
#<alt (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))>
#<alt (* x x)>
#<alt (/ 2 (* x x))>
#<alt (/ 2 (* x (* x (* (* x x) 1/12))))>
#<alt (* x (* x (* (* x x) 1/12)))>
#<alt (* x (* (* x x) 1/12))>
#<alt (* (* x x) 1/12)>
#<alt (/ 2 (+ 2 (* x (- x (* x (* x (* x -1/12)))))))>
#<alt (+ 2 (* x (- x (* x (* x (* x -1/12))))))>
#<alt (* x (- x (* x (* x (* x -1/12)))))>
#<alt (- x (* x (* x (* x -1/12))))>
#<alt (/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))>
#<alt (+ 24 (/ -288 (* x x)))>
#<alt (/ -288 (* x x))>
#<alt (* (* x x) 1/720)>
#<alt (* (* x x) (+ 1/24 (* (* x x) 1/720)))>
#<alt (* x -1/12)>
#<alt (* x (* x -1/12))>
#<alt (* x (* x (* x -1/12)))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (/ -288 (pow x 6))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 6))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 6))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 6))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ -288 (pow x 2))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 2))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 2))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 2))>
#<alt 24>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt 24>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))
1.0ms
x
@0
(/ 2 (* x (* x (* (* x x) 1/12))))
0.0ms
x
@0
(/ 2 (* x x))
0.0ms
x
@0
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
0.0ms
x
@0
(* x (* (* x x) 1/12))

rewrite341.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
3440×*-lowering-*.f32
3440×*-lowering-*.f64
2440×/-lowering-/.f32
2440×/-lowering-/.f64
1346×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035178
1137154
2546148
32332147
08512147
Stop Event
iter limit
node limit
Counts
23 → 933
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))
(* x x)
(/ 2 (* x x))
(/ 2 (* x (* x (* (* x x) 1/12))))
(* x (* x (* (* x x) 1/12)))
(* x (* (* x x) 1/12))
(* (* x x) 1/12)
(/ 2 (+ 2 (* x (- x (* x (* x (* x -1/12)))))))
(+ 2 (* x (- x (* x (* x (* x -1/12))))))
(* x (- x (* x (* x (* x -1/12)))))
(- x (* x (* x (* x -1/12))))
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
(+ 24 (/ -288 (* x x)))
(/ -288 (* x x))
(* (* x x) 1/720)
(* (* x x) (+ 1/24 (* (* x x) 1/720)))
(* x -1/12)
(* x (* x -1/12))
(* x (* x (* x -1/12)))
(* x (* x x))
(* x (* x (* x x)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))
(+.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x (*.f64 x x))))))
(+.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(+.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(+.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))))
(+.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x (*.f64 x x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x x) #s(literal 2 binary64)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x)))) (*.f64 x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x (*.f64 x x)))))
(+.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))))
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(neg.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))

simplify258.0ms (3.3%)

Algorithm
egg-herbie
Rules
2500×*-lowering-*.f32
2500×*-lowering-*.f64
1832×sum3-define
1716×/-lowering-/.f32
1716×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01211927
13431664
29591629
328131607
467901607
084911607
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(/ -288 (pow x 6))
(/ (- (* 24 (pow x 2)) 288) (pow x 6))
(/ (- (* 24 (pow x 2)) 288) (pow x 6))
(/ (- (* 24 (pow x 2)) 288) (pow x 6))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ -288 (pow x 2))
(/ (- (* 24 (pow x 2)) 288) (pow x 2))
(/ (- (* 24 (pow x 2)) 288) (pow x 2))
(/ (- (* 24 (pow x 2)) 288) (pow x 2))
24
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
24
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (-.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 21600 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 4406400 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -720 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (-.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 21600 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 4406400 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -720 binary64)))) (pow.f64 x #s(literal 6 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
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(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* 1/720 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* 1/720 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(* -1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))

eval190.0ms (2.4%)

Compiler

Compiled 25756 to 3206 computations (87.6% saved)

prune294.0ms (3.7%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New1420111431
Fresh314
Picked415
Done044
Total1427171444
Accuracy
100.0%
Counts
1444 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.1%
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))
38.1%
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
29.2%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
38.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
41.8%
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
8.5%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
8.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (*.f64 x x))) x))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))))
38.2%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
29.9%
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
79.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
29.9%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
93.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
52.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
38.2%
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 12 binary64))
29.2%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
52.8%
#s(literal 1 binary64)
Compiler

Compiled 433 to 231 computations (46.7% saved)

simplify38.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
cost-diff0
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))))
Rules
308×*-lowering-*.f32
308×*-lowering-*.f64
292×times-frac
244×/-lowering-/.f32
244×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026135
166112
2161112
3389112
4552112
5692112
6775112
7788112
8799112
9800112
10801112
0801112
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))))
1
(+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720))))
(* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))
(* x x)
x
(+ 1/2 (* (* x (* x (* x x))) 1/720))
1/2
(* (* x (* x (* x x))) 1/720)
(* x (* x (* x x)))
(* x (* x x))
1/720
(/ (/ 2 x) x)
(/ 2 x)
2
x
(/ 2 (/ x (/ 1 x)))
2
(/ x (/ 1 x))
x
(/ 1 x)
1
(/ (/ 24 (* x (* x x))) x)
(/ 24 (* x (* x x)))
24
(* x (* x x))
x
(* x x)
(/ (/ 1 x) (* x (* x (* x 1/24))))
(/ 1 x)
1
x
(* x (* x (* x 1/24)))
(* x (* x 1/24))
(* x 1/24)
1/24
Outputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1/2 (* (* x (* x (* x x))) 1/720))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (* x (* x (* x x))) 1/720)
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
1/720
#s(literal 1/720 binary64)
(/ (/ 2 x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(/ 2 (/ x (/ 1 x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(/ x (/ 1 x))
(*.f64 x x)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ (/ 24 (* x (* x x))) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (* x (* x x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
24
#s(literal 24 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(/ (/ 1 x) (* x (* x (* x 1/24))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* x (* x (* x 1/24)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* x (* x 1/24))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)

localize240.0ms (3.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
accuracy99.7%
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
accuracy99.5%
(*.f64 x #s(literal 1/24 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.0%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy99.1%
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
accuracy99.8%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))))
Results
163.0ms256×0valid
Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 77.0ms (73.6% of total)
ival-div: 15.0ms (14.3% of total)
...c/correct-round.rkt:119:19: 8.0ms (7.6% of total)
ival-add: 3.0ms (2.9% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))))>
#<alt (+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720))))>
#<alt (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))>
#<alt (* x x)>
#<alt (/ (/ 2 x) x)>
#<alt (/ 2 x)>
#<alt (/ x (/ 1 x))>
#<alt (/ 2 (/ x (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (/ 24 (* x (* x x))) x)>
#<alt (/ 24 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ (/ 1 x) (* x (* x (* x 1/24))))>
#<alt (* x (* x (* x 1/24)))>
#<alt (* x (* x 1/24))>
#<alt (* (* x (* x (* x x))) 1/720)>
#<alt (* x (* x (* x x)))>
#<alt (* x 1/24)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (* 1/720 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))))
0.0ms
x
@inf
(* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))
0.0ms
x
@0
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))))
0.0ms
x
@-inf
(* x (* x (* x 1/24)))
0.0ms
x
@inf
(* x (* x (* x 1/24)))

rewrite271.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
3218×/-lowering-/.f32
3218×/-lowering-/.f64
2812×*-lowering-*.f32
2812×*-lowering-*.f64
1320×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026105
112085
263685
3316285
0816085
Stop Event
iter limit
node limit
Counts
18 → 1271
Calls
Call 1
Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))))
(+ 1 (* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720))))
(* (* x x) (+ 1/2 (* (* x (* x (* x x))) 1/720)))
(* x x)
(/ (/ 2 x) x)
(/ 2 x)
(/ x (/ 1 x))
(/ 2 (/ x (/ 1 x)))
(/ 1 x)
(/ (/ 24 (* x (* x x))) x)
(/ 24 (* x (* x x)))
(* x (* x x))
(/ (/ 1 x) (* x (* x (* x 1/24))))
(* x (* x (* x 1/24)))
(* x (* x 1/24))
(* (* x (* x (* x x))) 1/720)
(* x (* x (* x x)))
(* x 1/24)
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 x (/.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))) (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/720 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
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(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64)) (/.f64 (*.f64 x x) #s(literal -24 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64)) (/.f64 (*.f64 x x) #s(literal -24 binary64)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal -24 binary64)))
(neg.f64 (/.f64 (/.f64 x #s(literal 24 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 24 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 24 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 x #s(literal 24 binary64)) #s(literal -1 binary64))))
(/.f64 x (/.f64 #s(literal 24 binary64) x))
(/.f64 (*.f64 x x) #s(literal 24 binary64))
(/.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 x #s(literal 24 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal 24 binary64) x)) #s(literal 1 binary64))
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(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 24 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -24 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -24 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal -24 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal -24 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 x #s(literal -24 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 x #s(literal 24 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 x #s(literal 24 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x (/.f64 #s(literal 24 binary64) x)) #s(literal 1 binary64))
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(*.f64 x (/.f64 x #s(literal 24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (/.f64 x #s(literal 24 binary64)) x)
(*.f64 (/.f64 x (/.f64 #s(literal 24 binary64) x)) #s(literal 1 binary64))
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(*.f64 (*.f64 (/.f64 x #s(literal 24 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/720 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal -3 binary64))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (log.f64 x) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -4 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -24 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) x))
(/.f64 x #s(literal 24 binary64))
(/.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal 24 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -24 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -24 binary64))
(/.f64 (/.f64 x #s(literal -24 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 x #s(literal -24 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal 24 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 24 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 24 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 (/.f64 x #s(literal 24 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -24 binary64)))
(*.f64 #s(literal -1/24 binary64) (-.f64 #s(literal 0 binary64) x))

simplify226.0ms (2.9%)

Algorithm
egg-herbie
Rules
2904×*-lowering-*.f32
2904×*-lowering-*.f64
1462×sum5-define
1378×fma-lowering-fma.f32
1378×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0771116
11791023
24291007
39391007
418171007
539911007
082881007
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))
(* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))
(* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(/ 24 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -91/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal -91/720 binary64)))))))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -259200 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 (+.f64 #s(literal -259200 binary64) (/.f64 #s(literal -518400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -259200 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 93312000 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -518400 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- 720 (* 259200 (/ 1 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -259200 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 720 (* -1 (/ (+ 259200 (* 518400 (/ 1 (pow x 2)))) (pow x 4)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 (+.f64 #s(literal -259200 binary64) (/.f64 #s(literal -518400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (* 93312000 (/ 1 (pow x 8)))) (+ (* 259200 (/ 1 (pow x 4))) (/ 518400 (pow x 6)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -259200 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 93312000 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -518400 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/720 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(* 1/720 (pow x 6))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x))))))
(* 1/720 (pow x 6))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x))))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 2) (+ 1/2 (* 1/720 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))
(* 1/720 (pow x 6))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x)))))
(* 1/720 (pow x 6))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))

eval196.0ms (2.5%)

Compiler

Compiled 32206 to 4683 computations (85.5% saved)

prune165.0ms (2.1%)

Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New1644131657
Fresh257
Picked325
Done055
Total1649251674
Accuracy
100.0%
Counts
1674 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.1%
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
38.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 24 binary64) x))) x)
38.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 x (/.f64 #s(literal 24 binary64) x)))
38.1%
(/.f64 (/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -24 binary64) x) x)) x) x)
38.1%
(/.f64 (/.f64 #s(literal 24 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
38.1%
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)))) x)
38.1%
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
29.2%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
38.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 (*.f64 x x) #s(literal 24 binary64))))
38.1%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal -24 binary64)))
41.8%
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
8.9%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -24 binary64)) #s(literal -24 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
8.5%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
38.1%
(/.f64 (*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) x)
38.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 24 binary64)) x)
43.6%
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
38.2%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
29.9%
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
79.2%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
29.9%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
52.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
38.2%
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 12 binary64))
29.2%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
52.8%
#s(literal 1 binary64)
Compiler

Compiled 823 to 324 computations (60.6% saved)

regimes33.0ms (0.4%)

Counts
39 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -24 binary64) x) x)) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 24 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal -24 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 (*.f64 x x) #s(literal 24 binary64))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (/.f64 #s(literal 24 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 x (/.f64 #s(literal 24 binary64) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 24 binary64) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -24 binary64)) #s(literal -24 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (*.f64 x x))) x))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

11.0ms
x
10.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.2%)

Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -24 binary64) x) x)) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 24 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal -24 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 (*.f64 x x) #s(literal 24 binary64))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (/.f64 #s(literal 24 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 x (/.f64 #s(literal 24 binary64) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 24 binary64) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -24 binary64)) #s(literal -24 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (*.f64 x x))) x))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
93.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts
32 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -24 binary64) x) x)) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 24 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal -24 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 (*.f64 x x) #s(literal 24 binary64))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (/.f64 #s(literal 24 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 x (/.f64 #s(literal 24 binary64) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 24 binary64) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
93.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -24 binary64) x) x)) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 24 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal -24 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 (*.f64 x x) #s(literal 24 binary64))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (/.f64 #s(literal 24 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 x (/.f64 #s(literal 24 binary64) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 24 binary64) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -288 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
93.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) x) (*.f64 x x)) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -24 binary64) x) x)) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 12 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 24 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal -24 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 (*.f64 x x) #s(literal 24 binary64))))
(/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (/.f64 #s(literal 24 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 x (/.f64 #s(literal 24 binary64) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 24 binary64) x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
87.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
87.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
79.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
79.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
79.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
52.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
3.4594061743202444e-5
325130.4714448836
Results
11.0ms160×0valid
Compiler

Compiled 253 to 150 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (49.6% of total)
ival-div: 1.0ms (16.5% of total)
ival-add: 1.0ms (16.5% of total)
ival-neg: 1.0ms (16.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
3.4594061743202444e-5
325130.4714448836
Results
13.0ms160×0valid
Compiler

Compiled 253 to 190 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (50.4% of total)
ival-div: 1.0ms (16.8% of total)
ival-add: 1.0ms (16.8% of total)
ival-neg: 1.0ms (16.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
3.4594061743202444e-5
325130.4714448836
Results
12.0ms160×0valid
Compiler

Compiled 213 to 150 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 3.0ms (41.6% of total)
ival-neg: 2.0ms (27.8% of total)
ival-div: 1.0ms (13.9% of total)
ival-add: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
3.4594061743202444e-5
325130.4714448836
Results
11.0ms160×0valid
Compiler

Compiled 173 to 130 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (49.3% of total)
ival-div: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
ival-neg: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
3.4594061743202444e-5
325130.4714448836
Results
12.0ms160×0valid
Compiler

Compiled 113 to 90 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (49.4% of total)
ival-div: 1.0ms (16.5% of total)
ival-add: 1.0ms (16.5% of total)
ival-neg: 1.0ms (16.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
22×*-commutative_binary64
16×+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053146
175146
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(if (<=.f64 x #s(literal 1553741871442821/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(if (<=.f64 x #s(literal 1553741871442821/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 1553741871442821/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness1.7s (21.6%)

Rules
2908×*-lowering-*.f32
2908×*-lowering-*.f64
2904×*-lowering-*.f32
2904×*-lowering-*.f64
2500×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01211927
13431664
29591629
328131607
467901607
084911607
066303
1170273
2462273
31279273
42678273
54412273
67117273
08040273
0717
12414
28213
331013
4142913
5533413
0821213
01171109
1329925
2930912
32813890
47580890
08105890
0771116
11791023
24291007
39391007
418171007
539911007
082881007
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 402 to 218 computations (45.8% saved)

preprocess52.0ms (0.7%)

Remove

(abs x)

Compiler

Compiled 342 to 144 computations (57.9% saved)

end0.0ms (0%)

Profiling

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