invcot (example 3.9)

Time bar (total: 9.7s)

start0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze3.0ms (0.0%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%49.7%50.3%0.0%0.0%0.0%0
0.0%0.0%49.7%50.3%0.0%0.0%0.0%1
0.0%0.0%49.7%50.3%0.0%0.0%0.0%2
25.0%12.4%37.3%50.3%0.0%0.0%0.0%3
62.5%31.1%18.6%50.3%0.0%0.0%0.0%4
81.3%40.4%9.3%50.3%0.0%0.0%0.0%5
90.6%45.0%4.7%50.3%0.0%0.0%0.0%6
95.3%47.4%2.3%50.3%0.0%0.0%0.0%7
97.7%48.5%1.2%50.3%0.0%0.0%0.0%8
98.8%49.1%0.6%50.3%0.0%0.0%0.0%9
99.4%49.4%0.3%50.3%0.0%0.0%0.0%10
99.7%49.5%0.1%50.3%0.0%0.0%0.0%11
99.9%49.6%0.1%50.3%0.0%0.0%0.0%12
Compiler

Compiled 16 to 12 computations (25.0% saved)

sample8.0s (82.6%)

Memory
-73.0MiB live, 7 189.4MiB allocated; 2.6s collecting garbage
Samples
6.3s3 921×2valid
979.0ms4 326×1valid
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 7.0s
ival-tan: 6.4s (92.0% of total)
ival-div!: 300.0ms (4.3% of total)
adjust: 215.0ms (3.1% of total)
ival-sub!: 47.0ms (0.7% of total)
ival-assert: 0.0ms (0.0% of total)
ival-and: 0.0ms (0.0% of total)
ival-<: 0.0ms (0.0% of total)
Bogosity

preprocess32.0ms (0.3%)

Memory
34.8MiB live, 34.8MiB 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 16 to 12 computations (25.0% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series21.0ms (0.2%)

Memory
-27.8MiB live, 16.9MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086260
Stop Event
iter-limit
Counts
6 → 16
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
(tan.f64 x)
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
#s(approx x x)
#s(approx (/ 1 x) (/.f64 #s(literal 1 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 (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 (- (/ 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 (tan x) (/.f64 (sin.f64 x) (cos.f64 x)))
#s(approx (/ 1 (tan x)) (/.f64 (cos.f64 x) (sin.f64 x)))
#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))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite121.0ms (1.2%)

Memory
-7.7MiB live, 137.5MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
16519
237619
3253119
0446719
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 391
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
(tan.f64 x)
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
#s(literal 1 binary64)
x
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64) (sin.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (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 -1 binary64) (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (tan.f64 x))) #s(literal -2 binary64))
(/.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 (tan.f64 x) #s(literal 2 binary64)) #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 (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))))
(/.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 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.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 (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 (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 (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 (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 (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 (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 (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 (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 (neg.f64 (+.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 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal 0 binary64)))
(+.f64 (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (pow.f64 (tan.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64))))
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(+.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))

eval40.0ms (0.4%)

Memory
5.2MiB live, 49.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 5 939 to 1 091 computations (81.6% saved)

prune8.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3993402
Fresh000
Picked101
Done000
Total4003403
Accuracy
99.5%
Counts
403 → 3
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 (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))))))))
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 54 to 40 computations (25.9% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/3
1/45
2
2/945
Outputs
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 6405119470038039/288230376151711744 binary64)
#s(literal 2 binary64)
#s(literal 4880091024790887/2305843009213693952 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series12.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090522
Stop Event
iter-limit
Counts
18 → 27
Calls
Call 1
Inputs
x
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(literal 1/45 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 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 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 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 2/945 binary64)
(*.f64 #s(literal 2/945 binary64) (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))))
(*.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)))))
(+.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))))))
(*.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 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
Outputs
#s(approx x x)
#s(approx (* 1/3 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 2) (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 (+ 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 (* 2/945 (pow x 2)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/45 (* 2/945 (pow x 2))) #s(literal 1/45 binary64))
#s(approx (+ 1/45 (* 2/945 (pow x 2))) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) (*.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 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (+.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 #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 (+ 1/3 (* 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 (* 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 (* 2/945 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) #s(literal 2/945 binary64)))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
-inf
3.0ms
x
inf
2.0ms
x
0

rewrite100.0ms (1.0%)

Memory
16.9MiB live, 159.4MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023137
033137
1179137
2847137
04079126
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 372
Calls
Call 1
Inputs
x
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(literal 1/45 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 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 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 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 2/945 binary64)
(*.f64 #s(literal 2/945 binary64) (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))))
(*.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)))))
(+.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))))))
(*.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 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
Outputs
x
#s(literal 1/3 binary64)
(*.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(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(literal 1/45 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 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 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)))
(*.f64 #s(literal -1/45 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/45 binary64))
(*.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)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) (*.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))))
(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 (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 (*.f64 (neg.f64 x) x) #s(literal -1/45 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 #s(literal 1/3 binary64) x))
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(fma.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/945 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/3 binary64)) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (fma.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/945 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) (*.f64 #s(literal -1/3 binary64) x))
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) (*.f64 (neg.f64 x) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (fma.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 2/945 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/3 binary64)) x))
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 2/945 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))

eval47.0ms (0.5%)

Memory
2.8MiB live, 92.0MiB allocated; 12ms collecting garbage
Compiler

Compiled 11 811 to 1 755 computations (85.1% saved)

prune24.0ms (0.2%)

Memory
-13.6MiB live, 32.1MiB allocated; 6ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4038411
Fresh000
Picked303
Done-110
Total4059414
Accuracy
99.7%
Counts
414 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
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))
50.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
50.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
50.0%
#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))
21.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
35.7%
#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 546 to 341 computations (37.5% saved)

sample1.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2/945
1/45
1/3
1
-1/3
2
3
-1/45
Outputs
#s(literal 4880091024790887/2305843009213693952 binary64)
#s(literal 6405119470038039/288230376151711744 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 1 binary64)
#s(literal -6004799503160661/18014398509481984 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal -6405119470038039/288230376151711744 binary64)
Samples
0.0ms0valid
Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series54.0ms (0.6%)

Memory
-11.4MiB live, 42.4MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721555
Stop Event
iter-limit
Counts
43 → 66
Calls
Call 1
Inputs
x
#s(literal 2/945 binary64)
(*.f64 x x)
#s(literal 1/45 binary64)
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/3 binary64)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #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))
#s(literal 1 binary64)
#s(literal -1/3 binary64)
(*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (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 (+ 1/3 (* 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 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 #s(literal 1/3 binary64) x)
#s(literal 3 binary64)
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
#s(literal -1/45 binary64)
(*.f64 #s(literal -1/45 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x)
(pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64))
(-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))))))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* 2/945 (* x x)) 1/45) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+.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 (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) 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 (* (+ (* 2/945 (* x x)) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* 2/945 (* x x)) 1/45) x) (*.f64 x (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (*.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 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x)) (/.f64 #s(literal -15 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x)) (/.f64 (-.f64 (*.f64 #s(literal 10/7 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 15 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 10/7 binary64) (*.f64 #s(literal -20/147 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 15 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 10/7 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 40/3087 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 20/147 binary64))))) #s(literal 15 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (/.f64 #s(literal 15 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (/.f64 (+.f64 #s(literal 15 binary64) (*.f64 #s(literal -3/7 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (/.f64 (+.f64 #s(literal 15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 20/147 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/7 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (/.f64 (+.f64 #s(literal 15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 20/147 binary64) (*.f64 #s(literal -40/3087 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/7 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 (* 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 (pow (* 1/3 x) 3) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* -1/45 (* x x)) (*.f64 #s(literal -1/45 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 (pow (* (* -1/45 (* x x)) x) 3) (*.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 9 binary64))))
#s(approx (- (pow (* 1/3 x) 3) (pow (* (* -1/45 (* x x)) x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (* (* 1/3 x) (* (* -1/45 (* x x)) x)) (*.f64 #s(literal -1/135 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (* -1/45 (* x x)) x) (* (* -1/45 (* x x)) x)) (* (* 1/3 x) (* (* -1/45 (* x x)) x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/135 binary64))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (+ (* (* (* -1/45 (* x x)) x) (* (* -1/45 (* x x)) x)) (* (* 1/3 x) (* (* -1/45 (* x x)) x)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (+ (* (* (* -1/45 (* x x)) x) (* (* -1/45 (* x x)) x)) (* (* 1/3 x) (* (* -1/45 (* x x)) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/135 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (+ (* (* (* -1/45 (* x x)) x) (* (* -1/45 (* x x)) x)) (* (* 1/3 x) (* (* -1/45 (* x x)) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/135 binary64))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 2/945 (* x x)) 1/45) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 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 x) 1/45) 1/3) (*.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 (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.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 (* (+ (* 2/945 (* x x)) 1/45) x) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* 2/945 (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x)) (/.f64 #s(literal -315/2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x)) (/.f64 (-.f64 (*.f64 #s(literal 6615/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 315/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x)) (/.f64 (-.f64 (*.f64 #s(literal 6615/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 138915/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x)) (/.f64 (-.f64 (fma.f64 #s(literal 6615/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2917215/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 138915/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) #s(literal 1 binary64))
#s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 6615/4 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 138915/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))) (/.f64 #s(literal 6615/4 binary64) (pow.f64 x #s(literal 6 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 (- (pow (* 1/3 x) 3) (pow (* (* -1/45 (* x x)) x) 3)) (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 9 binary64))))
#s(approx (- (pow (* 1/3 x) 3) (pow (* (* -1/45 (* x x)) x) 3)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/91125 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
#s(approx (+ (* (* (* -1/45 (* x x)) x) (* (* -1/45 (* x x)) x)) (* (* 1/3 x) (* (* -1/45 (* x x)) x))) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (* -1/45 (* x x)) x) (* (* -1/45 (* x x)) x)) (* (* 1/3 x) (* (* -1/45 (* x x)) x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 1/135 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (+ (* (* (* -1/45 (* x x)) x) (* (* -1/45 (* x x)) x)) (* (* 1/3 x) (* (* -1/45 (* x x)) x)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/135 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) #s(literal 2/945 binary64)))))
Calls

3 calls:

TimeVariablePoint
27.0ms
x
-inf
9.0ms
x
0
7.0ms
x
inf

rewrite334.0ms (3.4%)

Memory
-1.2MiB live, 616.8MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050561
083466
1455438
22045417
04961362
Stop Event
iter-limit
node-limit
iter-limit
Counts
43 → 2 003
Calls
Call 1
Inputs
x
#s(literal 2/945 binary64)
(*.f64 x x)
#s(literal 1/45 binary64)
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/3 binary64)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #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))
#s(literal 1 binary64)
#s(literal -1/3 binary64)
(*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (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 (+ 1/3 (* 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 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 #s(literal 1/3 binary64) x)
#s(literal 3 binary64)
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
#s(literal -1/45 binary64)
(*.f64 #s(literal -1/45 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x)
(pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64))
(-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))))))
Outputs
x
#s(literal 2/945 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/45 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) #s(literal 1/45 binary64))
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(+.f64 (/.f64 (*.f64 #s(literal 1/91125 binary64) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))))) (/.f64 (*.f64 #s(literal 1/91125 binary64) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) x) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))

eval213.0ms (2.2%)

Memory
3.7MiB live, 377.6MiB allocated; 68ms collecting garbage
Compiler

Compiled 105 078 to 9 529 computations (90.9% saved)

prune45.0ms (0.5%)

Memory
34.8MiB live, 124.8MiB allocated; 10ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 914141 928
Fresh303
Picked505
Done-231
Total1 920171 937
Accuracy
99.8%
Counts
1 937 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
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))
35.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
50.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
50.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) x))
51.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
49.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
51.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)))
50.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 #s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64)) x) x))))
49.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 #s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (/.f64 #s(literal 15 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
50.0%
#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)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))))
50.3%
#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)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/45 binary64))))))
50.3%
#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) x) x))))))
49.8%
#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) (/.f64 #s(literal 1 binary64) x))))))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
35.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.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 995 to 641 computations (35.6% saved)

sample0.0ms (0.0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/9
1/2025
-1/45
1/3
2
1/45
1
-1/3
2/945
Outputs
#s(literal 2001599834386887/18014398509481984 binary64)
#s(literal 4554751623138161/9223372036854775808 binary64)
#s(literal -6405119470038039/288230376151711744 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 2 binary64)
#s(literal 6405119470038039/288230376151711744 binary64)
#s(literal 1 binary64)
#s(literal -6004799503160661/18014398509481984 binary64)
#s(literal 4880091024790887/2305843009213693952 binary64)
Samples
0.0ms0valid
Compiler

Compiled 11 to 11 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series48.0ms (0.5%)

Memory
-12.9MiB live, 77.6MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02821784
Stop Event
iter-limit
Counts
51 → 77
Calls
Call 1
Inputs
x
#s(literal 1/9 binary64)
(*.f64 x x)
(*.f64 #s(literal 1/9 binary64) (*.f64 x x))
#s(literal 1/2025 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))
(*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
#s(literal -1/45 binary64)
(*.f64 #s(literal -1/45 binary64) x)
#s(literal 1/3 binary64)
(fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))
(*.f64 x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1/3 binary64) (*.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)) x)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/45 binary64)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) 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) x) 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) 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 (/.f64 #s(literal 1/3 binary64) x) x))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(*.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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) x))))))))
#s(literal -1/3 binary64)
#s(literal 2/945 binary64)
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/9 (* x x)) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (* (* x x) x) (* (* x x) x)) (pow.f64 x #s(literal 6 binary64)))
#s(approx (* 1/2025 (* (* (* x x) x) (* (* x x) x))) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* 1/9 (* x x)) (* 1/2025 (* (* (* x x) x) (* (* x x) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (* -1/45 x) (*.f64 #s(literal -1/45 binary64) x))
#s(approx (+ (* (* -1/45 x) x) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* -1/45 x) x) 1/3) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ (* (* -1/45 x) x) 1/3)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* x (+ (* (* -1/45 x) x) 1/3)) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* 1/9 (* x x)) (* 1/2025 (* (* (* x x) x) (* (* x x) x)))) (* x (+ (* (* -1/45 x) x) 1/3))) (*.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 (/ 1/3 (* x x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.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 (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (* x x) 2/945) 1/45) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) (*.f64 x (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) (*.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 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (/.f64 #s(literal -15 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (/.f64 (-.f64 (*.f64 #s(literal 10/7 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 15 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 10/7 binary64) (*.f64 #s(literal -20/147 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 15 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 10/7 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 40/3087 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 20/147 binary64))))) #s(literal 15 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) (/.f64 #s(literal 15 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) (/.f64 (+.f64 #s(literal 15 binary64) (*.f64 #s(literal -3/7 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) (/.f64 (+.f64 #s(literal 15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 20/147 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/7 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) (/.f64 (+.f64 #s(literal 15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 20/147 binary64) (*.f64 #s(literal -40/3087 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/7 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (/.f64 #s(literal 15 binary64) x))
#s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (/.f64 (+.f64 #s(literal 15 binary64) (*.f64 #s(literal -3/7 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (/.f64 (+.f64 #s(literal 15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 20/147 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/7 binary64)))) x))
#s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (/.f64 (+.f64 #s(literal 15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 20/147 binary64) (*.f64 #s(literal -40/3087 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/7 binary64)))) x))
#s(approx (- (* 1/9 (* x x)) (* 1/2025 (* (* (* x x) x) (* (* x x) x)))) (*.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* 1/9 (* x x)) (* 1/2025 (* (* (* x x) x) (* (* x x) x)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2025 binary64))))
#s(approx (+ (* (* -1/45 x) x) 1/3) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* -1/45 x) x) 1/3) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/45 binary64))))
#s(approx (* x (+ (* (* -1/45 x) x) 1/3)) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ (* (* -1/45 x) x) 1/3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/45 binary64))))
#s(approx (/ (- (* 1/9 (* x x)) (* 1/2025 (* (* (* x x) x) (* (* x x) x)))) (* x (+ (* (* -1/45 x) x) 1/3))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* 1/9 (* x x)) (* 1/2025 (* (* (* x x) x) (* (* x x) x)))) (* x (+ (* (* -1/45 x) x) 1/3))) (*.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 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 (- (/ 1/3 (* x x)) -1/45) (+.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 (* x x)) -1/45) 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (*.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 (+ (* (* x x) 2/945) 1/45) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) 2/945) 1/45) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (/.f64 #s(literal -315/2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (/.f64 (-.f64 (*.f64 #s(literal 6615/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 315/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (/.f64 (-.f64 (*.f64 #s(literal 6615/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 138915/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (/.f64 (-.f64 (fma.f64 #s(literal 6615/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2917215/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 138915/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) #s(literal 1 binary64))
#s(approx (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 6615/4 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 138915/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))) (/.f64 #s(literal 6615/4 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 6615/4 binary64) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 138915/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))) (/.f64 #s(literal 6615/4 binary64) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (* (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ (* (* -1/45 x) x) 1/3)) (*.f64 #s(literal -1 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))))))))
#s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 6615/4 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))))
#s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 6615/4 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 315/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 138915/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))))))
#s(approx (* (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) #s(literal 2/945 binary64)))))
Calls

3 calls:

TimeVariablePoint
17.0ms
x
0
6.0ms
x
-inf
5.0ms
x
inf

rewrite230.0ms (2.4%)

Memory
1.2MiB live, 382.7MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058570
094512
1438480
21892440
04662395
Stop Event
iter-limit
node-limit
iter-limit
Counts
51 → 1 595
Calls
Call 1
Inputs
x
#s(literal 1/9 binary64)
(*.f64 x x)
(*.f64 #s(literal 1/9 binary64) (*.f64 x x))
#s(literal 1/2025 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))
(*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
#s(literal -1/45 binary64)
(*.f64 #s(literal -1/45 binary64) x)
#s(literal 1/3 binary64)
(fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))
(*.f64 x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1/3 binary64) (*.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)) x)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/45 binary64)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) 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) x) 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) 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 (/.f64 #s(literal 1/3 binary64) x) x))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(*.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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) x))))))))
#s(literal -1/3 binary64)
#s(literal 2/945 binary64)
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
Outputs
x
#s(literal 1/9 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
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(*.f64 (/.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
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(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
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(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x)) (/.f64 x (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)))
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(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)) (/.f64 x x))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x) (/.f64 x (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)))
(*.f64 (/.f64 x x) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (/.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)) #s(literal 1 binary64)) x))
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)) #s(literal 1 binary64))))
(-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)))
(+.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)) x))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (fabs.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) (fabs.f64 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) x))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x))) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) (*.f64 x x))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x))) x) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)))) x)
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) x))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(*.f64 (-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) (-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x))))
(*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 x (-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)))))
(*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) (-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x))) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))

eval169.0ms (1.7%)

Memory
-25.0MiB live, 280.4MiB allocated; 111ms collecting garbage
Compiler

Compiled 50 096 to 6 860 computations (86.3% saved)

prune29.0ms (0.3%)

Memory
-0.9MiB live, 56.2MiB allocated; 4ms collecting garbage
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 224121 236
Fresh909
Picked505
Done033
Total1 238151 253
Accuracy
100.0%
Counts
1 253 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)) x)) (/.f64 (*.f64 (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)) x))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x) x)) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))))
54.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x #s(approx (+ (* (* -1/45 x) x) 1/3) #s(literal 1/3 binary64)))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/9 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x) x)))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
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))
55.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) x) x))
35.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x)))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 x (-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x))))))
50.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x)))
50.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x) x))
51.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)) #s(literal -1/45 binary64)) x) x) x))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x))
54.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (/.f64 #s(literal 15 binary64) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 423 to 270 computations (36.2% saved)

regimes51.0ms (0.5%)

Memory
29.8MiB live, 75.2MiB allocated; 4ms collecting garbage
Counts
2 → 1
6 → 1
35 → 1
38 → 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))) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Call 2
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) 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))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.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))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x)))
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))
Call 3
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) 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))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.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))) (*.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))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (/.f64 #s(literal 15 binary64) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 #s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64)) x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/45 binary64) (*.f64 x 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))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)) #s(literal -1/45 binary64)) x) 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 (/.f64 #s(literal 1/3 binary64) x) x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x #s(approx (+ (* (* -1/45 x) x) 1/3) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 x (-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) 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)) (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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/45 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x) x)) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 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 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 #s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (/.f64 #s(literal 15 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/9 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) 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))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.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 (+.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 #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 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
Call 4
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) 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))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.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))) (*.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))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (* (- 1 (/ -1/3 (* (* (+ (* (* x x) 2/945) 1/45) x) x))) x) (/.f64 #s(literal 15 binary64) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 #s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64)) x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/45 binary64) (*.f64 x 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))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)) #s(literal -1/45 binary64)) x) 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 (/.f64 #s(literal 1/3 binary64) x) x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x #s(approx (+ (* (* -1/45 x) x) 1/3) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 x (-.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) 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)) (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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/45 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x) x)) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 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 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (*.f64 #s(approx (- 1 (/ -1/3 (* (* (+ (* 2/945 (* x x)) 1/45) x) x))) (/.f64 #s(literal 15 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/9 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) 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))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.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 (+.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 #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 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)) x)) (/.f64 (*.f64 (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)) x)) (/.f64 (*.f64 (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64)) x))))
Calls

8 calls:

10.0ms
x
9.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
9.0ms
x
6.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
2.0ms
x
Results
AccuracySegmentsBranch
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.3%1x
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.5%1x
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.5%1x
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.6%1x
Compiler

Compiled 1 209 to 288 computations (76.2% saved)

derivations71.0ms (0.7%)

Memory
-31.2MiB live, 58.8MiB allocated; 9ms collecting garbage
Stop Event
fuel
Compiler

Compiled 96 to 35 computations (63.5% saved)

preprocess38.0ms (0.4%)

Memory
21.6MiB live, 69.1MiB allocated; 12ms collecting garbage
Compiler

Compiled 320 to 176 computations (45.0% saved)

end0.0ms (0.0%)

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

Profiling

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