invcot (example 3.9)

Time bar (total: 9.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
25%12.4%37.3%50.3%0%0%0%3
62.5%31.1%18.6%50.3%0%0%0%4
81.3%40.4%9.3%50.3%0%0%0%5
90.6%45%4.7%50.3%0%0%0%6
95.3%47.4%2.3%50.3%0%0%0%7
97.7%48.5%1.2%50.3%0%0%0%8
98.8%49.1%0.6%50.3%0%0%0%9
99.4%49.4%0.3%50.3%0%0%0%10
99.7%49.5%0.1%50.3%0%0%0%11
99.9%49.6%0.1%50.3%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample8.1s (82.9%)

Memory
240.5MiB live, 7 812.5MiB allocated; 2.2s collecting garbage
Samples
6.7s4 064×2valid
1.0s4 186×1valid
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 7.4s
ival-tan: 6.8s (91.3% of total)
ival-div!: 304.0ms (4.1% of total)
adjust: 288.0ms (3.9% of total)
ival-sub!: 54.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess40.0ms (0.4%)

Memory
34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01226
17424
242124
3260224
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series32.0ms (0.3%)

Memory
-35.8MiB live, 19.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086260
Stop Event
iter-limit
Counts
6 → 16
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ 1 (tan x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ 1 (tan x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) x))
#s(approx (/ 1 (tan x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))) x))
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (/ 1 (tan x)) (/.f64 (cos.f64 x) (sin.f64 x)))
#s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
1.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
1.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))

rewrite301.0ms (3.1%)

Memory
23.0MiB live, 413.2MiB allocated; 135ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
16519
239019
3257919
0835719
12363319
Stop Event
saturated
node-limit
iter-limit
Counts
6 → 923
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x))) (cos.f64 x))
(*.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sin.f64 x) x)) (cos.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x)))
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64)) x))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x))) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (-.f64 (tan.f64 x) x) x))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x))) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) x) (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 (tan.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (*.f64 (tan.f64 x) x) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (*.f64 (tan.f64 x) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (tan.f64 x)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (sin.f64 x) x) (*.f64 (tan.f64 x) x) (*.f64 (*.f64 (cos.f64 x) (tan.f64 x)) (neg.f64 x))) (*.f64 (*.f64 (cos.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 (tan.f64 x)) x) (*.f64 (tan.f64 x) x) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 x))) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) x) (neg.f64 x)) (*.f64 (tan.f64 x) x))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x) (*.f64 (neg.f64 (tan.f64 x)) x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) x) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) x) (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (sin.f64 x) (*.f64 (tan.f64 x) x) (*.f64 (*.f64 (cos.f64 x) (*.f64 (tan.f64 x) x)) (neg.f64 x))) (*.f64 (*.f64 (cos.f64 x) (*.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (sin.f64 x) (*.f64 (tan.f64 x) x) (*.f64 (*.f64 (*.f64 (cos.f64 x) x) (tan.f64 x)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 (cos.f64 x) x) (tan.f64 x)) (*.f64 (tan.f64 x) x)))
(/.f64 (fma.f64 (tan.f64 x) (*.f64 (tan.f64 x) x) (*.f64 (*.f64 (tan.f64 x) x) (neg.f64 x))) (pow.f64 (*.f64 (tan.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (sin.f64 x) (*.f64 x (*.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 (sin.f64 x) x))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 x)))) (*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 #s(literal 2 binary64) (tan.f64 x)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (sin.f64 x) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) x))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 x)))) x)
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (tan.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) x))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 (tan.f64 x))) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 (tan.f64 x)))))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) x)) (*.f64 x (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (neg.f64 (tan.f64 x)) x) (*.f64 (neg.f64 (tan.f64 x)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (cos.f64 x)))) (tan.f64 x))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (tan.f64 x))))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (cos.f64 x)))) (tan.f64 x))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) (tan.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 x)))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 (tan.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 (tan.f64 x)))))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) (neg.f64 (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 (/.f64 (/.f64 (tan.f64 x) x) (sin.f64 x)) (neg.f64 (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (*.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (sin.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 (tan.f64 x)) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (tan.f64 x)) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (*.f64 #s(literal 2 binary64) (tan.f64 x))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (sin.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (tan.f64 x) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (tan.f64 x) x)) (tan.f64 x)))
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (tan.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 0 binary64) (tan.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (tan.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (tan.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (tan.f64 x)) (/.f64 #s(literal 1/2 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 0 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (/.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 0 binary64) (tan.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (tan.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(/.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (tan.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)) (*.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (tan.f64 x) #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 (tan.f64 x) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(fma.f64 (tan.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 (PI.f64)) x) (PI.f64))))
(tan.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64))))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(-.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (cos.f64 x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 x) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (cos.f64 x)) (tan.f64 x))
(+.f64 (tan.f64 x) (/.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))))
(+.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(+.f64 (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x)))

eval105.0ms (1.1%)

Memory
28.9MiB live, 207.6MiB allocated; 52ms collecting garbage
Compiler

Compiled 8 935 to 2 430 computations (72.8% saved)

prune23.0ms (0.2%)

Memory
5.8MiB live, 50.5MiB allocated; 8ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New9312933
Fresh000
Picked101
Done000
Total9322934
Accuracy
99.5%
Counts
934 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 23 to 23 computations (0% saved)

series7.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056222
Stop Event
iter-limit
Counts
11 → 14
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/45 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx x x)
#s(approx (+ 1/3 (* 1/45 (pow x 2))) #s(literal 1/3 binary64))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/45 (pow x 2)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ 1/3 (* 1/45 (pow x 2))) (* 1/45 (pow x 2)) 1/45 (pow x 2) 2)
2.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ 1/3 (* 1/45 (pow x 2))) (* 1/45 (pow x 2)) 1/45 (pow x 2) 2)
1.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ 1/3 (* 1/45 (pow x 2))) (* 1/45 (pow x 2)) 1/45 (pow x 2) 2)

rewrite197.0ms (2%)

Memory
-3.5MiB live, 280.3MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01661
02161
111361
256461
3307661
0876358
11906458
Stop Event
saturated
node-limit
iter-limit
Counts
11 → 92
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/45 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) (neg.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 #s(literal -1/3 binary64) x))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (neg.f64 x) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal -1/45 binary64) x) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
(*.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal -1/45 binary64) x) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/45 binary64) x) x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/45 binary64))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)))
(*.f64 #s(literal -1/45 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/45 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
(neg.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)))
#s(literal 1/45 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
#s(literal 2 binary64)

eval74.0ms (0.8%)

Memory
-58.7MiB live, 20.3MiB allocated; 112ms collecting garbage
Compiler

Compiled 628 to 373 computations (40.6% saved)

prune3.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New95398
Fresh000
Picked112
Done000
Total964100
Accuracy
99.5%
Counts
100 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
48.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
33.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
Compiler

Compiled 72 to 71 computations (1.4% saved)

series9.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064308
Stop Event
iter-limit
Counts
22 → 20
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (pow x 2)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) #s(literal 1/3 binary64))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) #s(literal 1/45 binary64))
#s(approx (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) (pow x 3) x 3 (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) 1/45 (* 1/3 (/ 1 (pow x 2))) 1/3 (/ 1 (pow x 2)) 1 (pow x 2) 2 (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ 1/3 (* 1/45 (pow x 2))) (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))
2.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) (pow x 3) x 3 (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) 1/45 (* 1/3 (/ 1 (pow x 2))) 1/3 (/ 1 (pow x 2)) 1 (pow x 2) 2 (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ 1/3 (* 1/45 (pow x 2))) (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))
2.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) (pow x 3) x 3 (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) 1/45 (* 1/3 (/ 1 (pow x 2))) 1/3 (/ 1 (pow x 2)) 1 (pow x 2) 2 (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ 1/3 (* 1/45 (pow x 2))) (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))

rewrite223.0ms (2.3%)

Memory
-7.6MiB live, 183.3MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030224
042207
1219207
2982170
34945170
08889169
116664169
Stop Event
saturated
node-limit
iter-limit
Counts
22 → 516
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x)))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal -1/3 binary64) x))) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(*.f64 (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (neg.f64 x) x))
(*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal -1/3 binary64) x)))
(*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal -1/3 binary64) x)) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))) (*.f64 (neg.f64 x) x))
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(-.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/45 binary64) x) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x x) x) x)
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))

eval50.0ms (0.5%)

Memory
28.7MiB live, 117.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 6 083 to 2 918 computations (52% saved)

prune19.0ms (0.2%)

Memory
-1.1MiB live, 44.9MiB allocated; 5ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New62411635
Fresh000
Picked213
Done011
Total62613639
Accuracy
99.7%
Counts
639 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))))
48.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x x))))))))
48.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))))
48.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
33.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))))
53.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))))
33.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
53.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
33.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))))
34.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))))))))
33.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
Compiler

Compiled 559 to 547 computations (2.1% saved)

series23.0ms (0.2%)

Memory
-13.4MiB live, 40.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095456
Stop Event
iter-limit
Counts
35 → 29
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))))
(*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x)))
x
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x)
(fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x))
#s(literal 1/45 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x)
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx x x)
#s(approx (+ 1/3 (* 1/45 (pow x 2))) #s(literal 1/3 binary64))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* 1/45 x) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (+ (* 1/45 x) (/ 1/3 x)) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ 1/45 (* 1/3 (/ 1 (* x x)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/45 (* 1/3 (/ 1 (* x x)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* 1/45 x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (* 1/3 x) x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* 1/45 x) (* x x)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 1/45 x) (/ 1/3 x)) (*.f64 x (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/45 (* 1/3 (/ 1 (* x x)))) #s(literal 1/45 binary64))
#s(approx (+ 1/45 (* 1/3 (/ 1 (* x x)))) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) x (+ 1/3 (* 1/45 (pow x 2))) (* (+ (* 1/45 x) (/ 1/3 x)) x) (+ (* 1/45 x) (/ 1/3 x)) 1/45 (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (* (+ (* 1/45 x) (/ 1/3 x)) (* x x)) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ 1/3 (* 1/45 (pow x 2))) (* (* x x) (+ 1/45 (* 1/3 (/ 1 (* x x))))) (+ 1/45 (* 1/3 (/ 1 (* x x)))) (* 1/3 (/ 1 (* x x))) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (/ (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (* x x)) (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (+ (* (* 1/45 x) x) 1/3) (* 1/45 x) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ (* (/ 1 (* x x)) (* (* (* 1/3 x) x) x)) (* (* 1/45 x) (* x x))) (* (* (* 1/3 x) x) x) (* (* 1/3 x) x) (* 1/3 x) (* (* 1/45 x) (* x x)))
6.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) x (+ 1/3 (* 1/45 (pow x 2))) (* (+ (* 1/45 x) (/ 1/3 x)) x) (+ (* 1/45 x) (/ 1/3 x)) 1/45 (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (* (+ (* 1/45 x) (/ 1/3 x)) (* x x)) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ 1/3 (* 1/45 (pow x 2))) (* (* x x) (+ 1/45 (* 1/3 (/ 1 (* x x))))) (+ 1/45 (* 1/3 (/ 1 (* x x)))) (* 1/3 (/ 1 (* x x))) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (/ (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (* x x)) (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (+ (* (* 1/45 x) x) 1/3) (* 1/45 x) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ (* (/ 1 (* x x)) (* (* (* 1/3 x) x) x)) (* (* 1/45 x) (* x x))) (* (* (* 1/3 x) x) x) (* (* 1/3 x) x) (* 1/3 x) (* (* 1/45 x) (* x x)))
4.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) x (+ 1/3 (* 1/45 (pow x 2))) (* (+ (* 1/45 x) (/ 1/3 x)) x) (+ (* 1/45 x) (/ 1/3 x)) 1/45 (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (* (+ (* 1/45 x) (/ 1/3 x)) (* x x)) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ 1/3 (* 1/45 (pow x 2))) (* (* x x) (+ 1/45 (* 1/3 (/ 1 (* x x))))) (+ 1/45 (* 1/3 (/ 1 (* x x)))) (* 1/3 (/ 1 (* x x))) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (/ (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (* x x)) (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (+ (* (* 1/45 x) x) 1/3) (* 1/45 x) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* x (+ 1/3 (* 1/45 (pow x 2)))) (+ (* (/ 1 (* x x)) (* (* (* 1/3 x) x) x)) (* (* 1/45 x) (* x x))) (* (* (* 1/3 x) x) x) (* (* 1/3 x) x) (* 1/3 x) (* (* 1/45 x) (* x x)))

rewrite254.0ms (2.6%)

Memory
32.7MiB live, 347.9MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044468
067380
1312376
21335340
37665340
08094339
116980339
Stop Event
saturated
node-limit
iter-limit
Counts
35 → 2 192
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))))
(*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x)))
x
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x)
(fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x))
#s(literal 1/45 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x)
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ 1/3 (* 1/45 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))) x))
(*.f64 (*.f64 #s(approx (+ 1/3 (* 1/45 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(approx (+ 1/3 (* 1/45 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))) x) #s(literal 1 binary64))
(*.f64 #s(approx (+ 1/3 (* 1/45 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))) x)
(*.f64 x (*.f64 #s(literal 1 binary64) #s(approx (+ 1/3 (* 1/45 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))))
(*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1/3 (* 1/45 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))) x))
x
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fabs.f64 x))) (fabs.f64 x))
(*.f64 (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))))
(*.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fabs.f64 x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal -1/3 binary64) x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x)
(*.f64 x (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x) x)
(neg.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal -1/3 binary64) x)) x))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal -1/3 binary64) x))))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))))
(neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal -1/45 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal -1/45 binary64) x) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/45 binary64) x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal 1/3 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) x)) x))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)) x) #s(literal 1/3 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)) x))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/45 binary64) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))
(*.f64 x (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x (*.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x)
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x) (*.f64 x x))
(/.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))))
(neg.f64 (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) x) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/45 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 (*.f64 #s(literal 1/45 binary64) x) x) x (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 #s(literal 1/45 binary64) x) (*.f64 x x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 (*.f64 #s(literal -1/45 binary64) x) x) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 #s(literal -1/45 binary64) (neg.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal -1/45 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 (fabs.f64 x) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/45 binary64) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/45 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/45 binary64) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/45 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1/45 binary64) x))
(fma.f64 x #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) x) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) x))
(-.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))
(-.f64 (*.f64 #s(literal 1/45 binary64) x) (/.f64 #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -1/45 binary64) x))
(+.f64 (*.f64 #s(literal 1/45 binary64) x) (/.f64 #s(literal 1/3 binary64) x))
(+.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) x))
#s(literal 1/45 binary64)
(*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) (fabs.f64 x))) (fabs.f64 x))
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(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 x) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 x) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (fabs.f64 x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (fabs.f64 x) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (fabs.f64 x) x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 (neg.f64 x) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal -1/3 binary64) (neg.f64 x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/3 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (fabs.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (fabs.f64 x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (neg.f64 x) #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/3 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1/45 binary64) (fabs.f64 x))) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (*.f64 x (*.f64 #s(literal -1/45 binary64) (fabs.f64 x)))) (fabs.f64 x))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)))
(*.f64 (*.f64 x (*.f64 #s(literal -1/45 binary64) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 #s(literal -1/45 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/45 binary64)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/45 binary64))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/45 binary64) x)))
(*.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (*.f64 #s(literal -1/45 binary64) x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1/45 binary64) x))
(*.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/45 binary64)))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) x) x)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64))
(*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) x))
(*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (*.f64 #s(literal 1/45 binary64) x) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(neg.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) x)))

eval184.0ms (1.9%)

Memory
-19.8MiB live, 352.6MiB allocated; 87ms collecting garbage
Compiler

Compiled 18 044 to 7 712 computations (57.3% saved)

prune44.0ms (0.4%)

Memory
6.8MiB live, 107.6MiB allocated; 14ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1 654111 665
Fresh426
Picked505
Done022
Total1 663151 678
Accuracy
99.8%
Counts
1 678 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
49.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) x)) x))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x))))
48.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x x))))))))
48.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))))
48.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 #s(approx (+ (* 1/45 x) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)) x))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
53.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x)) x)))
33.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 #s(approx (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))))
53.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
53.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x)))))
33.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
48.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
53.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(approx (+ (* 1/45 x) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
Compiler

Compiled 589 to 497 computations (15.6% saved)

regimes17.0ms (0.2%)

Memory
-13.3MiB live, 32.3MiB allocated; 5ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(approx (+ (* 1/45 x) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 #s(approx (+ (* 1/45 x) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x)) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) x)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 #s(approx (* (+ (* (* 1/45 x) x) 1/3) (* (* x x) x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x) (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x x))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
Calls

2 calls:

9.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
7.0ms
x
Results
AccuracySegmentsBranch
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.5%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Accuracy

Total -29.3b remaining (-6918.6%)

Threshold costs -29.3b (-6918.6%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(approx (+ (* 1/45 x) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 #s(approx (+ (* 1/45 x) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)) x))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations26.0ms (0.3%)

Memory
-13.7MiB live, 32.6MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess28.0ms (0.3%)

Memory
11.6MiB live, 62.5MiB allocated; 9ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 86 to 79 computations (8.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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