invcot (example 3.9)

Time bar (total: 10.0s)

start0.0ms (0%)

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

analyze4.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample8.0s (80.5%)

Memory
129.1MiB live, 6 548.6MiB allocated; 1.6s collecting garbage
Samples
6.7s4 069×2valid
1.0s4 177×1valid
1.0ms10×0valid
Precisions
Click to see histograms. Total time spent on operations: 7.4s
ival-tan: 6.8s (91.4% of total)
ival-div!: 319.0ms (4.3% of total)
adjust: 267.0ms (3.6% of total)
ival-sub!: 50.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess74.0ms (0.7%)

Memory
-31.2MiB live, 56.1MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01226
12125
23624
37024
417724
5104424
6552024
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.7%
(-.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
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
6 → 18
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 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))
#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))

rewrite157.0ms (1.6%)

Memory
18.9MiB live, 119.3MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092291
096287
1510287
04508272
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
24 → 75
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 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))
#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 (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) (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 (-.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) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 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) (tan.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (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 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (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 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (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 #s(literal 1 binary64) 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) 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
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 531 to 284 computations (46.5% saved)

prune14.0ms (0.1%)

Memory
-40.7MiB live, 3.7MiB allocated; 7ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done000
Total68270
Accuracy
99.4%
Counts
70 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
#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 21 to 21 computations (0% saved)

series5.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
9 → 17
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)
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 (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (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) #s(hole binary64 (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)))))))
Calls

3 calls:

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

rewrite133.0ms (1.3%)

Memory
14.7MiB live, 119.9MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069307
073299
1346299
02727292
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
26 → 95
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))) #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 (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (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) #s(hole binary64 (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)))))))
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 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64))) x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64))))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/45 binary64)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/45 binary64) x)))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/45 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 (*.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 (* 1/3 x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx x x)
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) 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 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 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x 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 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x x)))

eval11.0ms (0.1%)

Memory
-25.1MiB live, 20.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 764 to 357 computations (53.3% saved)

prune4.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New81485
Fresh000
Picked022
Done000
Total81687
Accuracy
99.9%
Counts
87 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
▶99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓99.4%
#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))
▶35.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
Compiler

Compiled 101 to 93 computations (7.9% saved)

series20.0ms (0.2%)

Memory
-8.1MiB live, 37.8MiB allocated; 2ms collecting garbage
Counts
31 → 65
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
(*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))
(-.f64 #s(literal 1/45 binary64) (/.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)
(*.f64 x x)
x
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/27 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 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 x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ -1/3 (* x x)) #s(hole binary64 (/ -1/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* (* (* x x) (* x x)) 1/2025) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#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 (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 1/45))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#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 (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -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 (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (+ (* (* (* x 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) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (- 1/45 (/ -1/3 (* x x))) 1/45 (/ -1/3 (* x x)) -1/3 (* x x) x (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (* (* x x) (* x x)) 1/2025 -1/9 (+ (* (* x x) 1/45) -1/3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* 1/3 x) 1/3)
6.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (- 1/45 (/ -1/3 (* x x))) 1/45 (/ -1/3 (* x x)) -1/3 (* x x) x (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (* (* x x) (* x x)) 1/2025 -1/9 (+ (* (* x x) 1/45) -1/3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* 1/3 x) 1/3)
5.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (- 1/45 (/ -1/3 (* x x))) 1/45 (/ -1/3 (* x x)) -1/3 (* x x) x (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (* (* x x) (* x x)) 1/2025 -1/9 (+ (* (* x x) 1/45) -1/3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* 1/3 x) 1/3)

rewrite208.0ms (2.1%)

Memory
17.4MiB live, 192.7MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02091672
02531362
19411237
069921175
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
96 → 651
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
(*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))
(-.f64 #s(literal 1/45 binary64) (/.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)
(*.f64 x x)
x
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/27 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 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 x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ -1/3 (* x x)) #s(hole binary64 (/ -1/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* (* (* x x) (* x x)) 1/2025) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#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 (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 1/45))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#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 (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -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 (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (+ (* (* (* x 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) (* x x)) 1/2025) -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))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/91125 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64)))
(/.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)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/91125 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) x) x) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/2025 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x))))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/45 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(fma.f64 x (*.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1/91125 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/91125 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2025 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)))
(/.f64 (-.f64 #s(literal 1/91125 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64)))
(/.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/45 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/45 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1/45 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
(-.f64 (/.f64 #s(literal 1/91125 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64))) (/.f64 (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64))))
(-.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1/45 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/91125 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(literal 1/45 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
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(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) x) x (*.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))))) (/.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) x) x (*.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(*.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))
(neg.f64 (*.f64 #s(literal -1/3 binary64) x))
#s(literal 1/3 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 (*.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 (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- 1/45 (/ -1/3 (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (- 1/45 (/ -1/3 (* x x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (/ -1/3 (* x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -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 (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) 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) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (*.f64 #s(literal 1/27 binary64) x))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 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 (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 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)) 1/2025) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)))
#s(approx (* (* x x) 1/45) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -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) (+ (* (* x x) 1/45) -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) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* 1/3 x) (*.f64 #s(literal 1/3 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 (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(literal 1/45 binary64))
#s(approx (- 1/45 (/ -1/3 (* x x))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (*.f64 (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) x) (*.f64 (*.f64 x 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 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (*.f64 (-.f64 #s(literal 1/91125 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (*.f64 (*.f64 (-.f64 #s(literal 1/91125 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -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) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1/2025 binary64)) x) (*.f64 (*.f64 x x) x)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2025 binary64)))))

eval149.0ms (1.5%)

Memory
5.4MiB live, 196.4MiB allocated; 29ms collecting garbage
Compiler

Compiled 7 456 to 2 770 computations (62.8% saved)

prune21.0ms (0.2%)

Memory
-4.2MiB live, 38.4MiB allocated; 9ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New6089617
Fresh000
Picked314
Done022
Total61112623
Accuracy
100.0%
Counts
623 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶99.6%
#s(approx (- (/ 1 x) (/ 1 (tan 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)) (/.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)))))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
✓98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶50.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
▶35.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))))
▶35.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x))))
35.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (*.f64 (*.f64 x x) x))))
34.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (- 1/45 (/ -1/3 (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
Compiler

Compiled 474 to 440 computations (7.2% saved)

series22.0ms (0.2%)

Memory
45.9MiB live, 45.9MiB allocated; 0ms collecting garbage
Counts
43 → 93
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan 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)) (/.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 (*.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))))
(fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64))
(*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x))
#s(literal 1/91125 binary64)
(*.f64 (*.f64 x x) x)
(*.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)))
(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 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/135 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1/45 binary64) (/.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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) 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(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) 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 (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#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 (* 1/91125 (* (* x x) x)) #s(hole binary64 (* 1/91125 (pow x 3))))
#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 (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* -1/135 x)))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 -1/135))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (- (* 1/2025 (pow x 2)) 1/135)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ -1/3 (* x x)) #s(hole binary64 (/ -1/3 (pow x 2))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (* (* x x) 1/45) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (/ -1/3 (* x x)) (* (* x x) x)) #s(hole binary64 (* -1/3 x)))
#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 (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 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) #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 (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* 1/2025 (pow x 3))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* (pow x 3) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (* (pow x 2) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#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 (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 1/45))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#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 (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/135 (/ 1 (pow x 2))) 1/2025)))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (* 1/91125 (* (* x x) x)) 1/91125 (* (* x x) x) (* x x) x 1/27 (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (* (+ (* 1/2025 (* x x)) -1/135) x) (+ (* 1/2025 (* x x)) -1/135) 1/2025 -1/135 1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) -1/9 (+ (* (* x x) 1/45) -1/3) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) (* (- 1/45 (/ -1/3 (* x x))) x) (- 1/45 (/ -1/3 (* x x))) (/ -1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) (* (* (* x x) 1/45) x) (* (* x x) 1/45) (* (/ -1/3 (* x x)) (* (* x x) x)))
6.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (* 1/91125 (* (* x x) x)) 1/91125 (* (* x x) x) (* x x) x 1/27 (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (* (+ (* 1/2025 (* x x)) -1/135) x) (+ (* 1/2025 (* x x)) -1/135) 1/2025 -1/135 1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) -1/9 (+ (* (* x x) 1/45) -1/3) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) (* (- 1/45 (/ -1/3 (* x x))) x) (- 1/45 (/ -1/3 (* x x))) (/ -1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) (* (* (* x x) 1/45) x) (* (* x x) 1/45) (* (/ -1/3 (* x x)) (* (* x x) x)))
4.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (* 1/91125 (* (* x x) x)) 1/91125 (* (* x x) x) (* x x) x 1/27 (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (* (+ (* 1/2025 (* x x)) -1/135) x) (+ (* 1/2025 (* x x)) -1/135) 1/2025 -1/135 1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) -1/9 (+ (* (* x x) 1/45) -1/3) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) (* (- 1/45 (/ -1/3 (* x x))) x) (- 1/45 (/ -1/3 (* x x))) (/ -1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) (* (* (* x x) 1/45) x) (* (* x x) 1/45) (* (/ -1/3 (* x x)) (* (* x x) x)))

rewrite636.0ms (6.4%)

Memory
-269.3MiB live, 294.5MiB allocated; 825ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03132454
03652161
114472127
083502047
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
136 → 476
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan 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)) (/.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 (*.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))))
(fma.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64))
(*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x x) x))
#s(literal 1/91125 binary64)
(*.f64 (*.f64 x x) x)
(*.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)))
(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 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/135 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1/45 binary64) (/.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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) 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(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) 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 (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#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 (* 1/91125 (* (* x x) x)) #s(hole binary64 (* 1/91125 (pow x 3))))
#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 (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* -1/135 x)))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 -1/135))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (- (* 1/2025 (pow x 2)) 1/135)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ -1/3 (* x x)) #s(hole binary64 (/ -1/3 (pow x 2))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (* (* x x) 1/45) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (/ -1/3 (* x x)) (* (* x x) x)) #s(hole binary64 (* -1/3 x)))
#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 (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 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) #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 (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* 1/2025 (pow x 3))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* (pow x 3) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (* (pow x 2) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#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 (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (- 1/45 (/ -1/3 (* x x))) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 1/45))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#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 (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/135 (/ 1 (pow x 2))) 1/2025)))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -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 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) x)) (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)) #s(literal 1/27 binary64))))))
(/.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1/19683 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) x)))))
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#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (* x x) 1/45) -1/3) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/45) -1/3) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) (*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) (*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) (* (* x x) x)) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) (*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (- (* (* (* x x) 1/45) x) (* (/ -1/3 (* x x)) (* (* x x) x))) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) (*.f64 (*.f64 (neg.f64 x) x) x)))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (/.f64 (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 102515625 binary64) (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) x)))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (/.f64 #s(literal 1/135 binary64) (*.f64 x x)) #s(literal 1/2025 binary64))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2025 binary64)))))

eval56.0ms (0.6%)

Memory
29.0MiB live, 131.4MiB allocated; 18ms collecting garbage
Compiler

Compiled 6 818 to 2 567 computations (62.3% saved)

prune46.0ms (0.5%)

Memory
-6.4MiB live, 39.0MiB allocated; 6ms collecting garbage
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New4895494
Fresh224
Picked415
Done033
Total49511506
Accuracy
100.0%
Counts
506 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
98.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
99.6%
#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 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
✓98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
50.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
54.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(approx (* (- 1/45 (/ -1/3 (* x x))) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
✓35.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x))))
34.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (- 1/45 (/ -1/3 (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
Compiler

Compiled 471 to 369 computations (21.7% saved)

regimes12.0ms (0.1%)

Memory
-21.3MiB live, 24.8MiB allocated; 3ms collecting garbage
Counts
21 → 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 (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(approx (* (- 1/45 (/ -1/3 (* x x))) 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))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (- 1/45 (/ -1/3 (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.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 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
#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 (*.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 (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #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 x x) #s(literal 1/45 binary64)) x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #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 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan 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)) (/.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 (/.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 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
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 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
Calls

2 calls:

5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
5.0ms
x
Results
AccuracySegmentsBranch
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.6%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
13 → 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 (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(approx (* (- 1/45 (/ -1/3 (* x x))) 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))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (- 1/45 (/ -1/3 (* x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.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 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.6%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
5 → 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 (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(approx (* (- 1/45 (/ -1/3 (* x x))) 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))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #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
99.4%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
5.9MiB live, 5.9MiB 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 (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(approx (* (- 1/45 (/ -1/3 (* x x))) 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
99.4%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
5.5MiB live, 5.5MiB 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 (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(approx (* (- 1/45 (/ -1/3 (* x x))) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 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
98.8%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
98.8%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB 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)

derivations235.0ms (2.4%)

Memory
-9.1MiB live, 131.4MiB allocated; 15ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 78 to 55 computations (29.5% saved)

preprocess110.0ms (1.1%)

Memory
-3.1MiB live, 184.7MiB allocated; 29ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 320 to 284 computations (11.3% saved)

end0.0ms (0%)

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

Profiling

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