invcot (example 3.9)

Time bar (total: 14.9s)

start0.0ms (0%)

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

analyze5.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
25%12.4%37.3%50.3%0%0%0%3
62.5%31.1%18.6%50.3%0%0%0%4
81.3%40.4%9.3%50.3%0%0%0%5
90.6%45%4.7%50.3%0%0%0%6
95.3%47.4%2.3%50.3%0%0%0%7
97.7%48.5%1.2%50.3%0%0%0%8
98.8%49.1%0.6%50.3%0%0%0%9
99.4%49.4%0.3%50.3%0%0%0%10
99.7%49.5%0.1%50.3%0%0%0%11
99.9%49.6%0.1%50.3%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample7.4s (49.5%)

Memory
76.1MiB live, 5 526.3MiB allocated; 978ms collecting garbage
Samples
5.9s3 905×2valid
1.2s4 324×1valid
2.0ms27×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.7s
ival-tan: 5.9s (87.8% of total)
ival-div: 364.0ms (5.5% of total)
adjust: 341.0ms (5.1% of total)
ival-sub: 95.0ms (1.4% of total)
exact: 7.0ms (0.1% of total)
ival-assert: 3.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain542.0ms (3.6%)

Memory
-37.9MiB live, 292.9MiB allocated; 20ms 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
418.0ms254×2valid
65.0ms258×1valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 461.0ms
ival-tan: 410.0ms (89% of total)
ival-div: 22.0ms (4.8% of total)
adjust: 18.0ms (3.9% of total)
ival-sub: 8.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess206.0ms (1.4%)

Memory
8.7MiB live, 108.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12125
23624
37024
417724
5104424
6552024
068
0108
1158
2218
3388
4958
55018
677498
080018
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) x))
Symmetry

(negabs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 8 to 6 computations (25% saved)

series5.0ms (0%)

Memory
4.0MiB live, 4.0MiB 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))

rewrite121.0ms (0.8%)

Memory
23.5MiB live, 70.6MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092291
096287
1510287
04508272
Stop Event
iter limit
iter limit
node limit
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 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.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 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) x)) (/.f64 x (*.f64 (tan.f64 x) x)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(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) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(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 (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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (/ 1 (tan x)) (pow.f64 x #s(literal -1 binary64)))
#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 #s(literal -2/945 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 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 (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)) (*.f64 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 (pow.f64 x #s(literal -1 binary64)) (/.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))

eval9.0ms (0.1%)

Memory
-38.5MiB live, 9.0MiB allocated; 1ms collecting garbage
Compiler

Compiled 1 075 to 286 computations (73.4% saved)

prune14.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New77178
Fresh000
Picked101
Done000
Total78179
Accuracy
99.5%
Counts
79 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series5.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
11 → 36
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.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)) (*.f64 x x) #s(literal 1/3 binary64))
(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)
(*.f64 x x)
x
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 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) #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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/4725 (* 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) #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 (* (+ (* (+ (* (+ (* 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)))))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((- (/ 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) (+ (* 1/4725 (* x x)) 2/945) 1/4725 (* x x) x 2/945 1/45 1/3)
2.0ms
x
@-inf
((- (/ 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) (+ (* 1/4725 (* x x)) 2/945) 1/4725 (* x x) x 2/945 1/45 1/3)
1.0ms
x
@0
((- (/ 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) (+ (* 1/4725 (* x x)) 2/945) 1/4725 (* x x) x 2/945 1/45 1/3)

rewrite157.0ms (1%)

Memory
-14.5MiB live, 81.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127994
0139949
1689947
05653923
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
47 → 188
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.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)) (*.f64 x x) #s(literal 1/3 binary64))
(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)
(*.f64 x x)
x
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 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) #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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/4725 (* 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) #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 (* (+ (* (+ (* (+ (* 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)))))))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 x (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (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))) x) (-.f64 #s(literal 1/3 binary64) (*.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)))
(/.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 (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)) (*.f64 x x) #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.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) (fma.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)) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (*.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)) (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))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (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)))) (-.f64 #s(literal 1/3 binary64) (*.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)))
(/.f64 (*.f64 x (-.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))) (fma.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)) (*.f64 x x) #s(literal -1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (fma.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) (fma.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)) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (*.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)) (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))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (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))))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (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)))))
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#s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (fma.f64 (*.f64 #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 x)) 1/3) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64) #s(literal 1/3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)))
#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 #s(literal 2/945 binary64) x) x #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 (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #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 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))) #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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 4 binary64))))
#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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 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 (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2/945 binary64)) 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 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/45 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)))))

eval29.0ms (0.2%)

Memory
34.1MiB live, 34.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 8 290 to 1 046 computations (87.4% saved)

prune716.0ms (4.8%)

Memory
-39.5MiB live, 585.2MiB allocated; 15ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2303233
Fresh000
Picked011
Done000
Total2304234
Accuracy
99.9%
Counts
234 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (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)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (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))))))))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.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) (fma.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)) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.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 (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)) (*.f64 x x) #s(literal -1/3 binary64))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
Compiler

Compiled 228 to 92 computations (59.6% saved)

series9.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
18 → 75
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.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 (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)) (*.f64 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 (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)) (*.f64 x x) #s(literal -1/3 binary64)))
(*.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)
(-.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))
(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))
(*.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)
(*.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)
(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))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(*.f64 x x)
x
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 2 binary64)
#s(literal 1/9 binary64)
(fma.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)) (*.f64 x x) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2)))))) 1/9))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 -1/9))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2)))))) 1/9)))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2))))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* (pow x 2) (+ 62/4465125 (* 4/4465125 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) 1/3)))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))) 1/3)))
#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 (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #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 (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* 1/22325625 (pow x 13))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 13) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 13) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 13) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (* 1/22325625 (pow x 12))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* 1/22325625 (pow x 12))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (+ (* (+ (* (* x x) 1/4725) 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 (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #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 (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 13) (- (* -1 (/ (+ 4/4465125 (* 62/4465125 (/ 1 (pow x 2)))) (pow x 2))) 1/22325625)))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 13) (- (* -1 (/ (+ 62/4465125 (* 4/42525 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 2 1/9 (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) -1/3)
2.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 2 1/9 (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) -1/3)
2.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 2 1/9 (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) -1/3)

rewrite153.0ms (1%)

Memory
33.7MiB live, 128.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02562586
02802494
113082488
082662395
Stop Event
iter limit
node limit
iter limit
Counts
93 → 264
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.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 (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)) (*.f64 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 (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)) (*.f64 x x) #s(literal -1/3 binary64)))
(*.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)
(-.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))
(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))
(*.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)
(*.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)
(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))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(*.f64 x x)
x
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 2 binary64)
#s(literal 1/9 binary64)
(fma.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)) (*.f64 x x) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2)))))) 1/9))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 -1/9))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2)))))) 1/9)))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2))))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* (pow x 2) (+ 62/4465125 (* 4/4465125 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) 1/3)))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))) 1/3)))
#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 (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #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 (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* 1/22325625 (pow x 13))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 13) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 13) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 13) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (* 1/22325625 (pow x 12))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* 1/22325625 (pow x 12))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (+ (* (+ (* (* x x) 1/4725) 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 (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) #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 (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 13) (- (* -1 (/ (+ 4/4465125 (* 62/4465125 (/ 1 (pow x 2)))) (pow x 2))) 1/22325625)))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 13) (- (* -1 (/ (+ 62/4465125 (* 4/42525 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) (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(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 4 binary64)) #s(literal 1/81 binary64)) x) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (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 6 binary64)) #s(literal 1/729 binary64)) x) (*.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 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.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)))) (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 (neg.f64 x) (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (fma.f64 (*.f64 (neg.f64 x) x) (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(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (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))))
(neg.f64 (/.f64 (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 (neg.f64 x) x) (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(literal 1/3 binary64))))
(*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)
(*.f64 x (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))
(*.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)) (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 (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)) (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 (neg.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 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.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 6 binary64)) #s(literal 1/729 binary64))) (neg.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 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.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))))))
(/.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 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(/.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 6 binary64)) #s(literal 1/729 binary64)) (+.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 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.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)))))
(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)) (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))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(fma.f64 (fabs.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)) (fabs.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 -1/9 binary64))
(fma.f64 (exp.f64 (log.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))) (exp.f64 (log.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 -1/9 binary64))
(fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (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))) (*.f64 (*.f64 (neg.f64 x) x) (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(literal -1/9 binary64))
(fma.f64 (pow.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) #s(literal 2 binary64)) (*.f64 x x) #s(literal -1/9 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.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)) (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(literal -1/9 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/9 binary64))
(fma.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) (*.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 -1/9 binary64))
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#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
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#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x))
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#s(approx (+ (* (* x x) 1/4725) 2/945) #s(literal 2/945 binary64))
#s(approx (+ (* (* x x) 1/4725) 2/945) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) #s(literal -1/3 binary64))
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#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 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 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64)))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) (*.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (*.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/22325625 binary64)))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) #s(literal 1/22325625 binary64)) (pow.f64 x #s(literal 13 binary64))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/22325625 binary64)) (pow.f64 x #s(literal 13 binary64))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (*.f64 (+.f64 (+.f64 #s(literal 1/22325625 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 4/42525 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64)))) (pow.f64 x #s(literal 13 binary64))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/22325625 binary64)))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) (*.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) #s(literal 1/22325625 binary64))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/22325625 binary64))))
#s(approx (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) (*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/22325625 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 4/42525 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64))))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/22325625 binary64)))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) (*.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) #s(literal 1/22325625 binary64))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/22325625 binary64))))
#s(approx (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) (*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/22325625 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 4/42525 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/4725) 2/945) (*.f64 (*.f64 x x) #s(literal 1/4725 binary64)))
#s(approx (+ (* (* x x) 1/4725) 2/945) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64)))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (* x x)) -1/3)) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/45 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 13 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -62/4465125 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -4/4465125 binary64)) (*.f64 x x)) #s(literal 1/22325625 binary64))))
#s(approx (* (- (pow (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) 2) 1/9) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 13 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -4/42525 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -62/4465125 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) #s(literal 1/22325625 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal 1/4725 binary64))))

eval61.0ms (0.4%)

Memory
-18.7MiB live, 74.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 23 496 to 2 273 computations (90.3% saved)

prune3.1s (20.7%)

Memory
-36.2MiB live, 1 754.2MiB allocated; 84ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4112413
Fresh202
Picked101
Done011
Total4143417
Accuracy
100.0%
Counts
417 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.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 6 binary64)) #s(literal 1/729 binary64)) x) (*.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 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.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)))) (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)))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
99.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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)))))
Compiler

Compiled 160 to 73 computations (54.4% saved)

series8.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
19 → 71
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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))))
(fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(pow.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)) #s(literal 2 binary64))
(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))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(*.f64 x x)
x
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/9 binary64)
(/.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)))
(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 (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(literal -1/3 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2)))))) 1/9)))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 1/2025))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (+ 1/2025 (* 4/42525 (pow x 2)))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2)))))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (+ 1/2025 (* (pow x 2) (+ 4/42525 (* (pow x 2) (+ 62/4465125 (* 4/4465125 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/525 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/375 (pow x 2)) 17/525)) 1/5)) 3))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) 1/3)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))) 1/3)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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 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 (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #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 (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (* 1/22325625 (pow x 12))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (* 1/22325625 (pow x 8))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (* (pow x 8) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (* (pow x 8) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (* (pow x 8) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (/ 4725 (pow x 5))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (/ (- 4725 (* 47250 (/ 1 (pow x 2)))) (pow x 5))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (/ (+ 4725 (* -1 (/ (+ 47250 (* 23625 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (/ (- (+ 4725 (* 12639375 (/ 1 (pow x 6)))) (+ (* 47250 (/ 1 (pow x 2))) (/ 23625 (pow x 4)))) (pow x 5))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (* (+ (* (+ (* (* x x) 1/4725) 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 (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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 (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #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 (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* 47250 (/ 1 (pow x 2))) 4725) (pow x 5)))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (+ (* 47250 (/ 1 (pow x 2))) (/ 23625 (pow x 4))) 4725) (pow x 5)))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (+ (* 47250 (/ 1 (pow x 2))) (/ 23625 (pow x 4))) (+ 4725 (* 12639375 (/ 1 (pow x 6))))) (pow x 5)))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 2 (pow x 4) 4 -1/9 (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) -1/3)
2.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 2 (pow x 4) 4 -1/9 (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) -1/3)
2.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 2 (pow x 4) 4 -1/9 (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) -1/3)

rewrite155.0ms (1%)

Memory
6.4MiB live, 51.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02852342
03082254
114862254
082302207
Stop Event
iter limit
node limit
iter limit
Counts
90 → 225
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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))))
(fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(pow.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)) #s(literal 2 binary64))
(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))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(*.f64 x x)
x
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/9 binary64)
(/.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)))
(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 (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(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2)))))) 1/9)))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 1/2025))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (+ 1/2025 (* 4/42525 (pow x 2)))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 62/4465125 (pow x 2)))))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (+ 1/2025 (* (pow x 2) (+ 4/42525 (* (pow x 2) (+ 62/4465125 (* 4/4465125 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/525 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/375 (pow x 2)) 17/525)) 1/5)) 3))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) 1/3)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))) 1/3)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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 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 (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #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 (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (* 1/22325625 (pow x 12))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) #s(hole binary64 (* (pow x 12) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (* 1/22325625 (pow x 8))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (* (pow x 8) (+ 1/22325625 (* 4/4465125 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (* (pow x 8) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (* 4/4465125 (/ 1 (pow x 2))))))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) #s(hole binary64 (* (pow x 8) (+ 1/22325625 (+ (/ 62/4465125 (pow x 4)) (+ (* 4/4465125 (/ 1 (pow x 2))) (* 4/42525 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (/ 4725 (pow x 5))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (/ (- 4725 (* 47250 (/ 1 (pow x 2)))) (pow x 5))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (/ (+ 4725 (* -1 (/ (+ 47250 (* 23625 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (/ (- (+ 4725 (* 12639375 (/ 1 (pow x 6)))) (+ (* 47250 (/ 1 (pow x 2))) (/ 23625 (pow x 4)))) (pow x 5))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (* (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (* (+ (* (+ (* (* x x) 1/4725) 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 (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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 (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) #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 (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* 47250 (/ 1 (pow x 2))) 4725) (pow x 5)))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (+ (* 47250 (/ 1 (pow x 2))) (/ 23625 (pow x 4))) 4725) (pow x 5)))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (+ (* 47250 (/ 1 (pow x 2))) (/ 23625 (pow x 4))) (+ 4725 (* 12639375 (/ 1 (pow x 6))))) (pow x 5)))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.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))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/9 binary64))))
(*.f64 (/.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))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/9 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (/.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 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1/9 binary64)) x)) (neg.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))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (*.f64 (neg.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))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal -1/9 binary64))))
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(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (*.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)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal -1/9 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (*.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)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (neg.f64 x)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal -1/9 binary64)) (neg.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)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/81 binary64)) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal -1/9 binary64)) (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 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal -1/9 binary64)))) (neg.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)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal -1/9 binary64)))) (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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #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)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)))))
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#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/4725) 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 (+ (* (* x x) 1/4725) 2/945) #s(literal 2/945 binary64))
#s(approx (+ (* (* x x) 1/4725) 2/945) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (*.f64 #s(literal -3 binary64) x))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (*.f64 (-.f64 (*.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/525 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/375 binary64) (*.f64 x x)) #s(literal 17/525 binary64)) (*.f64 x x)) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (-.f64 (*.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 (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (-.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 1/3 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 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 (* (+ (* (+ (* (* x x) 1/4725) 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 x) (/ 1 (tan x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) (*.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/22325625 binary64)))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) #s(literal 1/22325625 binary64)) (pow.f64 x #s(literal 12 binary64))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/22325625 binary64)) (pow.f64 x #s(literal 12 binary64))))
#s(approx (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (*.f64 (+.f64 (+.f64 #s(literal 1/22325625 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 4/42525 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64)))) (pow.f64 x #s(literal 12 binary64))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/22325625 binary64)))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) #s(literal 1/22325625 binary64))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/22325625 binary64))))
#s(approx (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/22325625 binary64) (/.f64 #s(literal 62/4465125 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 4/42525 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/4465125 binary64))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/4725) 2/945) (*.f64 (*.f64 x x) #s(literal 1/4725 binary64)))
#s(approx (+ (* (* x x) 1/4725) 2/945) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)) (*.f64 x x)))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (/.f64 #s(literal 4725 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (/.f64 (-.f64 #s(literal 4725 binary64) (*.f64 #s(literal 47250 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 #s(literal 23625 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 47250 binary64)) x) #s(literal 4725 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (/.f64 (-.f64 (fma.f64 #s(literal 12639375 binary64) (pow.f64 x #s(literal -6 binary64)) #s(literal 4725 binary64)) (fma.f64 #s(literal 47250 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 23625 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4725 binary64))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) (*.f64 x x))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (pow (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) 2) (pow x 4)) -1/9) (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 47250 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 4725 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 47250 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 23625 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4725 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ x (+ (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) -1/3)) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 47250 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 23625 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 12639375 binary64) (pow.f64 x #s(literal -6 binary64)) #s(literal 4725 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) (*.f64 x x))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 5 binary64)))))

eval47.0ms (0.3%)

Memory
34.7MiB live, 34.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 20 837 to 1 847 computations (91.1% saved)

prune2.1s (14%)

Memory
-1.3MiB live, 625.0MiB allocated; 32ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3510351
Fresh011
Picked011
Done011
Total3513354
Accuracy
100.0%
Counts
354 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.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 6 binary64)) #s(literal 1/729 binary64)) x) (*.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 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.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)))) (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)))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
99.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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)))))
Compiler

Compiled 529 to 150 computations (71.6% saved)

regimes5.0ms (0%)

Memory
-44.1MiB live, 3.7MiB allocated; 0ms collecting garbage
Accuracy

Total -62.2b remaining (-37005.9%)

Threshold costs -62.2b (-37005.9%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.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)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.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 (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)) (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.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 6 binary64)) #s(literal 1/729 binary64)) x) (*.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 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.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)))) (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 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.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) (fma.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)) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (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)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (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))))))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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)))))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.7%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.7%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify27.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02446
13046
23746
36846
423646
5229246
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.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)))))

derivations58.0ms (0.4%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 46 to 24 computations (47.8% saved)

preprocess17.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 200 to 108 computations (46% saved)

end0.0ms (0%)

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

Profiling

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