invcot (example 3.9)

Time bar (total: 10.2s)

start0.0ms (0%)

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

analyze4.0ms (0%)

Memory
5.1MiB live, 5.1MiB 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)

sample8.3s (81%)

Memory
97.9MiB live, 8 256.3MiB allocated; 2.2s collecting garbage
Samples
6.8s4 051×2valid
1.1s4 193×1valid
1.0ms12×0valid
Precisions
Click to see histograms. Total time spent on operations: 7.6s
ival-tan: 6.9s (91.5% of total)
ival-div!: 355.0ms (4.7% of total)
adjust: 237.0ms (3.1% of total)
ival-sub!: 48.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain519.0ms (5.1%)

Memory
8.9MiB live, 698.0MiB allocated; 195ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(tan.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))cancellation2560
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
320.0ms274×2valid
139.0ms236×1valid
0.0ms2×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 439.0ms
ival-tan: 403.0ms (91.8% of total)
ival-div!: 20.0ms (4.6% of total)
adjust: 13.0ms (3% of total)
ival-sub!: 3.0ms (0.7% of total)

preprocess60.0ms (0.6%)

Memory
-35.5MiB live, 60.2MiB allocated; 8ms 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
▶6.8%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Symmetry

(negabs x)

Compiler

Compiled 16 to 12 computations (25% saved)

series5.0ms (0%)

Memory
10.5MiB live, 10.5MiB 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))

rewrite136.0ms (1.3%)

Memory
24.6MiB live, 167.6MiB allocated; 18ms 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))

eval8.0ms (0.1%)

Memory
-28.5MiB live, 18.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 047 to 285 computations (72.8% saved)

prune3.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New66470
Fresh000
Picked101
Done000
Total67471
Accuracy
99.4%
Counts
71 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
▶99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 78 to 52 computations (33.3% saved)

series11.0ms (0.1%)

Memory
24.2MiB live, 24.3MiB allocated; 0ms collecting garbage
Counts
21 → 69
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* 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 (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
Calls

3 calls:

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

rewrite200.0ms (2%)

Memory
-15.2MiB live, 265.6MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02091786
02341693
19951689
076251664
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
90 → 404
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* 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 (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64))) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #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 (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 (*.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 1 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 #s(literal 1/45 binary64) x) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #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 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.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 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #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 (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 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)) #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 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #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 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #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))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal -1/3 binary64)))
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#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(literal 2/945 binary64))
#s(approx (+ (* 1/4725 (* x x)) 2/945) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* 2/945 (* x x)) 1/45) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 2/945 binary64) (*.f64 x x))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (*.f64 (*.f64 #s(literal 1/4725 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (*.f64 (*.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 2/945 binary64) (*.f64 x x))) #s(literal 1/4725 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x)))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4725 binary64)))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* 1/4725 (* x x)) 2/945) (*.f64 (*.f64 #s(literal 1/4725 binary64) x) x))
#s(approx (+ (* 1/4725 (* x x)) 2/945) (*.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 2/945 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* 2/945 (* x x)) 1/45) (*.f64 (*.f64 #s(literal 2/945 binary64) x) x))
#s(approx (+ (* 2/945 (* x x)) 1/45) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) x) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval71.0ms (0.7%)

Memory
27.9MiB live, 162.9MiB allocated; 25ms collecting garbage
Compiler

Compiled 15 722 to 2 108 computations (86.6% saved)

prune19.0ms (0.2%)

Memory
-13.8MiB live, 32.1MiB allocated; 7ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New4606466
Fresh000
Picked044
Done000
Total46010470
Accuracy
99.9%
Counts
470 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
#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)))
▶99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
▶99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x))
✓99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶16.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))))
▶44.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
Compiler

Compiled 450 to 292 computations (35.1% saved)

series38.0ms (0.4%)

Memory
-19.9MiB live, 32.8MiB allocated; 25ms collecting garbage
Counts
39 → 93
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/9 binary64)
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
#s(literal 1/45 binary64)
#s(literal -1/3 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(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/945 binary64) x)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))
#s(literal -2/945 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 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 (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (+ (* (* (* 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 (* (+ (* (* 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/945 (pow x 4)))))
#s(approx (* 2/945 x) #s(hole binary64 (* 2/945 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#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 (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* 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) 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 2/945))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ 1/45 (pow x 2))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
Calls

3 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) 1/2025 (* (* (* x x) x) x) (* (* x x) x) (* x x) x -1/9 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) (+ (* (* 2/945 x) (* (* x x) x)) 1/3) (* 2/945 x) 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945 (pow x 5) 5)
6.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) 1/2025 (* (* (* x x) x) x) (* (* x x) x) (* x x) x -1/9 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) (+ (* (* 2/945 x) (* (* x x) x)) 1/3) (* 2/945 x) 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945 (pow x 5) 5)
5.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) 1/2025 (* (* (* x x) x) x) (* (* x x) x) (* x x) x -1/9 (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) (+ (* (* 2/945 x) (* (* x x) x)) 1/3) (* 2/945 x) 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945 (pow x 5) 5)

rewrite238.0ms (2.3%)

Memory
8.0MiB live, 242.5MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02492372
02962191
110362068
073861954
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
132 → 740
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/9 binary64)
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
#s(literal 1/45 binary64)
#s(literal -1/3 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(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/945 binary64) x)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))
#s(literal -2/945 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 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 (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (+ (* (* (* 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 (* (+ (* (* 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/945 (pow x 4)))))
#s(approx (* 2/945 x) #s(hole binary64 (* 2/945 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#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 (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* 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) 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 2/945))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(hole binary64 (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ 1/45 (pow x 2))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (* (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/27 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -1/135 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(*.f64 (fma.f64 (*.f64 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 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/18225 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x))) x) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)) (*.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 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)) (*.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 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))) x)) (neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/18225 binary64)))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))) x) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 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 (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 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/45 binary64) x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
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#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
#s(approx (* (* (* x x) x) x) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* 1/45 x) x) -1/3) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
#s(approx (* 1/45 x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (* 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 (* 1/3 x) (*.f64 #s(literal 1/3 binary64) 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (fma.f64 (*.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 (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) 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 (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) (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)))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) (fma.f64 (*.f64 #s(literal 2/945 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (* 2/945 x) (*.f64 #s(literal 2/945 binary64) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) 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 (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (*.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 (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (/.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)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (pow x 5) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) (*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) (*.f64 (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) x)) x))
#s(approx (+ (* (* 1/45 x) x) -1/3) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* 1/45 x) x) -1/3) (*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(literal 1/45 binary64))
#s(approx (- (/ 1/3 (* x x)) -1/45) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) (*.f64 (*.f64 (*.f64 #s(literal 2/945 binary64) (*.f64 x x)) x) x))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) (*.f64 (*.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) x))
#s(approx (+ (* (* x x) 1/45) (+ (* (* 2/945 x) (* (* x x) x)) 1/3)) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64)) (*.f64 (*.f64 x x) x)) x))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) (*.f64 (*.f64 (*.f64 #s(literal 2/945 binary64) (*.f64 x x)) x) x))
#s(approx (+ (* (* 2/945 x) (* (* x x) x)) 1/3) (*.f64 (*.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) x)) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (*.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) #s(literal 2/945 binary64))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))))
#s(approx (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64)))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) (/.f64 #s(literal 1/45 binary64) (*.f64 x x)))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -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)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64))))
#s(approx (* (- (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) -2/945) (pow x 5)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64))))

eval88.0ms (0.9%)

Memory
16.7MiB live, 157.6MiB allocated; 18ms collecting garbage
Compiler

Compiled 32 958 to 3 846 computations (88.3% saved)

prune23.0ms (0.2%)

Memory
2.6MiB live, 49.8MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New8428850
Fresh011
Picked325
Done044
Total84515860
Accuracy
100.0%
Counts
860 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
#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)))
▶99.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/18225 binary64)))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
▶99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x))
✓99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
✓98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
31.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
▶43.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
▶48.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
Compiler

Compiled 837 to 493 computations (41.1% saved)

series28.0ms (0.3%)

Memory
5.8MiB live, 52.3MiB allocated; 4ms collecting garbage
Counts
47 → 96
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
(/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
x
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
#s(literal 1/45 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))
(*.f64 #s(literal 1/2025 binary64) (*.f64 x x))
#s(literal 1/2025 binary64)
(*.f64 x x)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))
(*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x)
(fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
#s(literal 1/27 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(literal 1/4100625 binary64)
#s(literal -1/81 binary64)
(fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* 1/2025 (* x x)) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* (* (* (* x x) x) x) (* x x)) #s(hole binary64 (pow x 6)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* -1/9 x)))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* -1/81 x)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* x (- (* 1/4100625 (pow x 8)) 1/81))))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(hole binary64 -1/81))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(hole binary64 (- (* 1/4100625 (pow x 8)) 1/81)))
#s(approx (* (* (* x x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (pow x 8)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) #s(hole binary64 (+ 1/9 (* 1/2025 (pow x 4)))))
#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 (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* 1/4100625 (pow x 9))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(hole binary64 (* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* 1/45 x) x) -1/3)) x (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 (* x x) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/91125 (* (* (* (* x x) x) x) (* x x)) (* (* (* x x) x) x) (* (* x x) x) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) 1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x)) 1/4100625 -1/81 (+ (* (* 1/2025 (* x x)) (* x x)) 1/9))
8.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* 1/45 x) x) -1/3)) x (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 (* x x) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/91125 (* (* (* (* x x) x) x) (* x x)) (* (* (* x x) x) x) (* (* x x) x) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) 1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x)) 1/4100625 -1/81 (+ (* (* 1/2025 (* x x)) (* x x)) 1/9))
8.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* 1/45 x) x) -1/3)) x (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 (* x x) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) 1/91125 (* (* (* (* x x) x) x) (* x x)) (* (* (* x x) x) x) (* (* x x) x) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) (* (* x x) 1/45) 1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x)) 1/4100625 -1/81 (+ (* (* 1/2025 (* x x)) (* x x)) 1/9))

rewrite163.0ms (1.6%)

Memory
-8.0MiB live, 221.8MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03432825
04032160
115812157
083682082
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
143 → 535
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
(/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
x
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
#s(literal 1/45 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))
(*.f64 #s(literal 1/2025 binary64) (*.f64 x x))
#s(literal 1/2025 binary64)
(*.f64 x x)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))
(*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
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(*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x)
(fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
#s(literal 1/27 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(literal 1/4100625 binary64)
#s(literal -1/81 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))) #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 (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* 1/2025 (* x x)) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* (* (* (* x x) x) x) (* x x)) #s(hole binary64 (pow x 6)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* -1/9 x)))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* -1/81 x)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* x (- (* 1/4100625 (pow x 8)) 1/81))))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(hole binary64 -1/81))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(hole binary64 (- (* 1/4100625 (pow x 8)) 1/81)))
#s(approx (* (* (* x x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (pow x 8)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) #s(hole binary64 (+ 1/9 (* 1/2025 (pow x 4)))))
#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 (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* 1/45 x) x) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* 1/4100625 (pow x 9))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(hole binary64 (* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))) (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)))) (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)))) (-.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal -1/9 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal -1/9 binary64))) (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))) (neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (neg.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (neg.f64 x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (neg.f64 x)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (neg.f64 x)) (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(-.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64))) (*.f64 (neg.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 x) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
x
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) 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)))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))
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#s(approx (* (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) #s(literal 1/2025 binary64)))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4100625 binary64)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (*.f64 (-.f64 #s(literal 1/4100625 binary64) (*.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/81 binary64))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)))
#s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) (*.f64 (-.f64 #s(literal 1/4100625 binary64) (*.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/81 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2025 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (*.f64 x x)) #s(literal -675 binary64)) (*.f64 x x))) #s(literal 45 binary64)) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 151875 binary64) (*.f64 x x)) #s(literal -10125 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 45 binary64)) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x)))
#s(approx (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (+ (* (* 1/2025 (* x x)) (* x x)) 1/9)) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2025 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/81 binary64) #s(literal -1/4100625 binary64))) (pow.f64 x #s(literal 9 binary64))))

eval94.0ms (0.9%)

Memory
31.1MiB live, 176.6MiB allocated; 15ms collecting garbage
Compiler

Compiled 35 696 to 3 902 computations (89.1% saved)

prune24.0ms (0.2%)

Memory
1.0MiB live, 47.5MiB allocated; 3ms collecting garbage
Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New7797786
Fresh314
Picked325
Done066
Total78516801
Accuracy
100.0%
Counts
801 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
#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)))
99.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (/.f64 (*.f64 #s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/9 binary64)))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
✓99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x))
✓99.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
✓98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
✓43.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
30.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
✓48.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
Compiler

Compiled 1 396 to 526 computations (62.3% saved)

regimes19.0ms (0.2%)

Memory
-30.5MiB live, 23.4MiB allocated; 16ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (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 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.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(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (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 x x) #s(literal 1/45 binary64) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/91125 (* (* (* (* x x) x) x) (* x x))) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (/.f64 (*.f64 #s(approx (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) 1/4100625) -1/81) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/18225 binary64)))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
Calls

2 calls:

13.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.5%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory
7.6MiB live, 7.6MiB 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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (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
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.3%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
Calls

2 calls:

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

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Accuracy

Total -31.9b remaining (-3908.2%)

Threshold costs -31.9b (-3908.2%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
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 9 to 7 computations (22.2% saved)

derivations132.0ms (1.3%)

Memory
-14.7MiB live, 125.4MiB allocated; 8ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 79 to 31 computations (60.8% saved)

preprocess46.0ms (0.4%)

Memory
-12.5MiB live, 82.0MiB allocated; 9ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 380 to 218 computations (42.6% saved)

end0.0ms (0%)

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

Profiling

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