invcot (example 3.9)

Time bar (total: 10.3s)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
25%12.4%37.3%50.3%0%0%0%3
62.5%31.1%18.6%50.3%0%0%0%4
81.3%40.4%9.3%50.3%0%0%0%5
90.6%45%4.7%50.3%0%0%0%6
95.3%47.4%2.3%50.3%0%0%0%7
97.7%48.5%1.2%50.3%0%0%0%8
98.8%49.1%0.6%50.3%0%0%0%9
99.4%49.4%0.3%50.3%0%0%0%10
99.7%49.5%0.1%50.3%0%0%0%11
99.9%49.6%0.1%50.3%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample8.5s (82.4%)

Memory
-55.0MiB live, 7 241.5MiB allocated; 2.5s collecting garbage
Samples
7.1s4 058×2valid
1.0s4 181×1valid
1.0ms17×0valid
Precisions
Click to see histograms. Total time spent on operations: 7.9s
ival-tan: 7.1s (90.3% of total)
ival-div!: 414.0ms (5.2% of total)
adjust: 241.0ms (3.1% of total)
ival-sub!: 114.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess125.0ms (1.2%)

Memory
-44.4MiB live, 58.6MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01226
15624
222324
394224
4787224
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.5%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
6 → 16
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow x 2))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (cos x) (sin x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
Calls

3 calls:

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

rewrite127.0ms (1.2%)

Memory
23.0MiB live, 110.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090279
094275
1508275
04462260
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 73
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow x 2))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (cos x) (sin x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
Outputs
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x))) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (tan.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) x)) (/.f64 x (*.f64 (tan.f64 x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (cos.f64 x) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (tan.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.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 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #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(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 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (/ 1 (tan x)) (/.f64 (cos.f64 x) (sin.f64 x)))
#s(approx (tan x) (tan.f64 x))

eval7.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 522 to 279 computations (46.6% saved)

prune3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New63467
Fresh000
Picked101
Done000
Total64468
Accuracy
99.5%
Counts
68 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
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 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 54 to 52 computations (3.7% saved)

series21.0ms (0.2%)

Memory
-43.6MiB live, 12.4MiB allocated; 14ms collecting garbage
Counts
21 → 52
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
#s(literal 2/945 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))
(*.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 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
3.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
2.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

rewrite211.0ms (2%)

Memory
13.9MiB live, 198.0MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921435
02171357
19671353
075551328
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
73 → 387
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
#s(literal 2/945 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))
(*.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 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
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(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 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 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 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) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.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 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 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)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 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)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))))
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(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 2/945 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 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 1/91125 binary64) (pow.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 1/45 binary64) (*.f64 #s(literal -2/945 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 #s(literal 2/945 binary64) x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/2025 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/843908625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/91125 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2/945 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/843908625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/91125 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (*.f64 #s(literal 2/42525 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 #s(literal 2/945 binary64) x) x)))
(/.f64 (fma.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/2025 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)))
(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2/945 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64)))
(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/91125 binary64)) (-.f64 (fma.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (*.f64 #s(literal 2/42525 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2/945 binary64) x) x) #s(literal 1 binary64) #s(literal 1/45 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 x (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/45 binary64))
(-.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 #s(literal 2/945 binary64) x) x))) (/.f64 (*.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 #s(literal 2/945 binary64) x) x))))
(-.f64 (/.f64 (*.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal 2/945 binary64) x) x) #s(literal -1/45 binary64))
(-.f64 #s(literal 1/45 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2/945 binary64) x)) x))
(-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2/945 binary64)))
(-.f64 #s(literal 1/45 binary64) (*.f64 #s(literal -2/945 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/91125 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 2/945 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))) (/.f64 (*.f64 #s(literal 8/843908625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal 2/945 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 8/843908625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (-.f64 (fma.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (*.f64 #s(literal 2/42525 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/91125 binary64) (-.f64 (fma.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (*.f64 #s(literal 2/42525 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 #s(literal 2/945 binary64) x) x) #s(literal 1/45 binary64))
(+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 #s(literal 2/945 binary64) x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #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(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx x x)
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(literal 2/945 binary64))
#s(approx (+ (* 1/4725 (* x x)) 2/945) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.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) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 2/945 binary64) (*.f64 x x))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (*.f64 (*.f64 #s(literal 1/4725 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (*.f64 (*.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 2/945 binary64) (*.f64 x x))) #s(literal 1/4725 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x)))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4725 binary64)))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* 1/4725 (* x x)) 2/945) (*.f64 (*.f64 #s(literal 1/4725 binary64) x) x))
#s(approx (+ (* 1/4725 (* x x)) 2/945) (*.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 2/945 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* 2/945 (* x x)) 1/45) (*.f64 (*.f64 #s(literal 2/945 binary64) x) x))
#s(approx (+ (* 2/945 (* x x)) 1/45) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) x) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/4725 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/4725 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64))))

eval66.0ms (0.6%)

Memory
29.5MiB live, 73.3MiB allocated; 11ms collecting garbage
Compiler

Compiled 5 102 to 1 886 computations (63% saved)

prune21.0ms (0.2%)

Memory
-22.3MiB live, 23.7MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New4005405
Fresh000
Picked044
Done000
Total4009409
Accuracy
100.0%
Counts
409 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) 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 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 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 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
57.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
56.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
Compiler

Compiled 260 to 250 computations (3.8% saved)

series26.0ms (0.3%)

Memory
-2.0MiB live, 42.6MiB allocated; 7ms collecting garbage
Counts
42 → 61
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x)
(fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/27 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* (* (* (* x x) x) x) (* x x)) #s(hole binary64 (pow x 6)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* 2/945 (pow x 3))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/91125 (* (* (* (* x x) x) x) (* x x)) (* (* (* x x) x) x) (* (* x x) x) (* x x) x 1/27 (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x)) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) 1/2025 -1/9)
6.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/91125 (* (* (* (* x x) x) x) (* x x)) (* (* (* x x) x) x) (* (* x x) x) (* x x) x 1/27 (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x)) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) 1/2025 -1/9)
5.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/91125 (* (* (* (* x x) x) x) (* x x)) (* (* (* x x) x) x) (* (* x x) x) (* x x) x 1/27 (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x)) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) 1/2025 -1/9)

rewrite175.0ms (1.7%)

Memory
30.7MiB live, 215.4MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411645
02941410
111611340
085951270
Stop Event
iter-limit
node-limit
iter-limit
Counts
103 → 816
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x)
(fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/27 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* (* (* (* x x) x) x) (* x x)) #s(hole binary64 (pow x 6)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* 2/945 (pow x 3))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) (*.f64 x x) #s(literal -1/9 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) x) (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)))
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/2025 binary64) x) (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/81 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x) x #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/18225 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64))) (/.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))))
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(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/45 binary64)) #s(literal -1/45 binary64) #s(literal -1/9 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.f64 #s(literal 1/45 binary64) x)) x #s(literal -1/9 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/45 binary64) #s(literal -1/9 binary64))
(fma.f64 (*.f64 #s(literal 1/2025 binary64) x) (*.f64 (*.f64 x x) x) #s(literal -1/9 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/45 binary64)) #s(literal 1/45 binary64) #s(literal -1/9 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (fabs.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal -1/9 binary64))
(fma.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal -1/9 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x) x #s(literal -1/9 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/45 binary64) x) #s(literal -1/9 binary64))
(fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/9 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal -1/9 binary64))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) #s(literal -1/9 binary64))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal -1/9 binary64))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x) #s(literal -1/9 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x) x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 #s(literal 1/18225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 #s(literal 1/18225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/81 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 1/9 binary64))
(-.f64 #s(literal -1/9 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x)) x))
(-.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) #s(literal 1/2025 binary64)))
(-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/18225 binary64))))) (/.f64 #s(literal -1/729 binary64) (fma.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/18225 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal -1/9 binary64))
(+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 #s(literal 1/2025 binary64) x) (*.f64 (*.f64 x x) x)))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) 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))
#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 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (*.f64 #s(literal 1/27 binary64) x))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) x))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)))
#s(approx (* (* (* (* x x) x) x) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x))
#s(approx (* (* (* x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
#s(approx (* (* x x) 1/45) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* 1/45 x) x) -1/3) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
#s(approx (* 1/45 x) (*.f64 #s(literal 1/45 binary64) x))
#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 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 x x)))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (* x x) 2/945) 1/45) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.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) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x)) #s(literal -1/91125 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x)) #s(literal -1/91125 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) x))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (*.f64 (*.f64 #s(literal 1/2025 binary64) x) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) x)) x))
#s(approx (+ (* (* 1/45 x) x) -1/3) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x))
#s(approx (- (/ 1/3 (* x x)) -1/45) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/945 binary64)) x) x))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) (*.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) (*.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* x x) 2/945) 1/45) (*.f64 #s(literal 2/945 binary64) (*.f64 x x)))
#s(approx (+ (* (* x x) 2/945) 1/45) (*.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) (*.f64 (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 x x) x)) x))
#s(approx (+ (* x 1/3) (* (* (+ (* (* x x) 2/945) 1/45) x) (* x x))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2025 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))))

eval215.0ms (2.1%)

Memory
-22.4MiB live, 179.7MiB allocated; 58ms collecting garbage
Compiler

Compiled 11 173 to 4 198 computations (62.4% saved)

prune62.0ms (0.6%)

Memory
4.3MiB live, 60.3MiB allocated; 11ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New92210932
Fresh000
Picked415
Done044
Total92615941
Accuracy
100.0%
Counts
941 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x) x #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) 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 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 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 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
57.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.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))
98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
36.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
56.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
56.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
61.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
Compiler

Compiled 570 to 529 computations (7.2% saved)

series79.0ms (0.8%)

Memory
-18.7MiB live, 28.1MiB allocated; 3ms collecting garbage
Counts
41 → 54
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))
(*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.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))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.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 (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
(/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/2025 binary64) (*.f64 x x))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* 1/2025 (* x x)) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
Calls

3 calls:

TimeVariablePointExpression
69.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/27 x (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 -1/9)
5.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/27 x (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 -1/9)
4.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/27 x (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 -1/9)

rewrite169.0ms (1.6%)

Memory
20.6MiB live, 206.5MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561623
02931433
113151381
085061326
Stop Event
iter-limit
node-limit
iter-limit
Counts
95 → 430
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))
(*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.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))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.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 (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
(/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/2025 binary64) (*.f64 x x))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* 1/2025 (* x x)) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -1/9 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 1/9 binary64)))))
(*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64))))
(*.f64 x (/.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (neg.f64 x) #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))
(neg.f64 (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64))))
(*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x)
(*.f64 x #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 1/9 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -1/9 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 1/9 binary64)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -1/9 binary64))))
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal -1/9 binary64))
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#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
#s(approx x x)
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (fma.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) (*.f64 x x) #s(literal 1/9 binary64)))
#s(approx (* (* x x) 1/45) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* 1/45 x) x) -1/3) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
#s(approx (* 1/45 x) (*.f64 #s(literal 1/45 binary64) x))
#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 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (*.f64 #s(literal -3 binary64) x))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (*.f64 (-.f64 (*.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/75 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/1125 binary64) (*.f64 x x)) #s(literal 1/75 binary64)) (*.f64 x x)) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
#s(approx (* 1/2025 (* x x)) (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.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) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64)))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (*.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x) x))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2025 binary64)) (/.f64 #s(literal 1/135 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (* 1/45 x) x) -1/3) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(literal 1/45 binary64))
#s(approx (- (/ 1/3 (* x x)) -1/45) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) (*.f64 x x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (/.f64 #s(literal 45 binary64) x))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (*.f64 x x)) #s(literal -675 binary64)) (*.f64 x x)) #s(literal 45 binary64)) x))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (/.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 151875 binary64) (*.f64 x x)) #s(literal -10125 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 675 binary64) (*.f64 x x))) #s(literal 45 binary64)) x))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (*.f64 x x)) #s(literal -675 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 45 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 151875 binary64) (*.f64 x x)) #s(literal -10125 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 45 binary64)) (/.f64 #s(literal 675 binary64) (*.f64 x x))) (neg.f64 x)))

eval112.0ms (1.1%)

Memory
34.7MiB live, 124.8MiB allocated; 11ms collecting garbage
Compiler

Compiled 6 215 to 2 468 computations (60.3% saved)

prune20.0ms (0.2%)

Memory
-32.6MiB live, 24.3MiB allocated; 8ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New4892491
Fresh235
Picked415
Done055
Total49511506
Accuracy
100.0%
Counts
506 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x) x #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
98.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 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 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
61.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
Compiler

Compiled 488 to 383 computations (21.5% saved)

regimes12.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
22 → 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 (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 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 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) 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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) 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 #s(approx (+ (* (* x x) 1/45) 1/3) (*.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 (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 (+ (* (* x x) 1/45) 1/3) (*.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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) x) x #s(literal 1/9 binary64)) (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 (pow.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
Calls

2 calls:

6.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.5%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
19 → 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 (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 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 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) 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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) 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 #s(approx (+ (* (* x x) 1/45) 1/3) (*.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 (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 (+ (* (* x x) 1/45) 1/3) (*.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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.5%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes41.0ms (0.4%)

Memory
-37.8MiB live, 9.3MiB allocated; 3ms collecting garbage
Counts
14 → 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 (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 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 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) 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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) 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 #s(approx (+ (* (* x x) 1/45) 1/3) (*.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 (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 (+ (* (* x x) 1/45) 1/3) (*.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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
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))
Calls

2 calls:

37.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.5%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
10 → 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 (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 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 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) 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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) 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 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.4%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.4%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
4 → 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 (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 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))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(literal 1/9 binary64))))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
98.9%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
98.9%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
98.7%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
98.7%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations201.0ms (1.9%)

Memory
-13.0MiB live, 136.3MiB allocated; 23ms collecting garbage
Stop Event
fuel
Compiler

Compiled 87 to 68 computations (21.8% saved)

preprocess93.0ms (0.9%)

Memory
15.7MiB live, 155.2MiB allocated; 12ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 399 to 363 computations (9% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...