invcot (example 3.9)

Time bar (total: 12.3s)

start0.0ms (0%)

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

analyze5.0ms (0%)

Memory
15.5MiB live, 15.5MiB 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)

sample9.4s (76.6%)

Memory
125.5MiB live, 8 309.8MiB allocated; 2.1s collecting garbage
Samples
7.8s4 008×2valid
1.3s4 223×1valid
2.0ms25×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.6s
ival-tan: 7.6s (87.6% of total)
ival-div: 513.0ms (5.9% of total)
adjust: 449.0ms (5.2% of total)
ival-sub: 97.0ms (1.1% of total)
exact: 8.0ms (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

explain574.0ms (4.7%)

Memory
22.8MiB live, 496.9MiB allocated; 57ms 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)))cancellation2550
-.f64(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))nan-rescue10
(/.f64 #s(literal 1 binary64) x)overflow1
(/.f64 #s(literal 1 binary64) (tan.f64 x))overflow1
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
436.0ms264×2valid
69.0ms248×1valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 483.0ms
ival-tan: 431.0ms (89.3% of total)
ival-div: 26.0ms (5.4% of total)
adjust: 19.0ms (3.9% of total)
ival-sub: 6.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess224.0ms (1.8%)

Memory
18.5MiB live, 204.0MiB allocated; 31ms 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
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 8 to 6 computations (25% saved)

series10.0ms (0.1%)

Memory
-39.1MiB live, 6.3MiB allocated; 7ms 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
7.0ms
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))

rewrite137.0ms (1.1%)

Memory
46.6MiB live, 136.2MiB allocated; 22ms 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))

eval13.0ms (0.1%)

Memory
-41.4MiB live, 16.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 075 to 286 computations (73.4% saved)

prune3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New75378
Fresh000
Picked101
Done000
Total76379
Accuracy
99.5%
Counts
79 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
98.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 51 to 35 computations (31.4% saved)

series7.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
14 → 34
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
Calls

3 calls:

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

rewrite145.0ms (1.2%)

Memory
9.9MiB live, 102.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116729
0128698
1557696
04293686
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
48 → 209
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))
(/.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)) #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)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) (/.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))))
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(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/91125 binary64) (pow.f64 (*.f64 #s(literal -2/945 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 #s(literal -2/945 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64))) (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 2/42525 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/945 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))))
(/.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)))
(/.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64)) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 2/42525 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/945 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64)))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 x (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/45 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(-.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))) (/.f64 (*.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal -1/45 binary64))
(-.f64 #s(literal 1/45 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2/945 binary64) x)) x))
(-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2/945 binary64)))
(-.f64 #s(literal 1/45 binary64) (*.f64 #s(literal -2/945 binary64) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 2/42525 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/91125 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 2/42525 binary64) (*.f64 x x))))))
(+.f64 (/.f64 #s(literal 1/91125 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/945 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/945 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (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 (* 1/3 x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx x x)
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* 2/945 (* x x)) 1/45) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.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 3 binary64))))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 2/945 (* x x)) 1/45) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))
#s(approx (+ (* 2/945 (* x x)) 1/45) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/45 binary64)) x) x) #s(literal 2/945 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval34.0ms (0.3%)

Memory
-13.9MiB live, 32.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 6 887 to 954 computations (86.1% saved)

prune14.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2545259
Fresh000
Picked033
Done000
Total2548262
Accuracy
100.0%
Counts
262 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
32.1%
#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)) #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)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
48.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
98.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 363 to 223 computations (38.6% saved)

series83.0ms (0.7%)

Memory
-28.7MiB live, 23.6MiB allocated; 4ms collecting garbage
Counts
47 → 96
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 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)) #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)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))))
(/.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)) #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)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))))
(+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(pow.f64 x #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)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (* (* x x) 1/45) x) (* 1/3 x)) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* (* (* x x) 1/45) x) (* 1/3 x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) #s(hole binary64 (* 1/27 (pow x 3))))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) #s(hole binary64 (* (pow x 3) (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (pow (* 1/3 x) 3) #s(hole binary64 (* 1/27 (pow x 3))))
#s(approx (pow (* (pow x 3) 1/45) 3) #s(hole binary64 (* 1/91125 (pow x 9))))
#s(approx (* (pow x 3) 1/45) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* 1/9 (pow x 2))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* (pow x 2) (+ 1/9 (* -1/135 (pow x 2))))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* (pow x 2) (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))))))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) #s(hole binary64 (* -1/135 (pow x 4))))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) #s(hole binary64 (* (pow x 4) (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) #s(hole binary64 (* 1/2025 (pow x 6))))
#s(approx (* (* 1/3 x) (* (pow x 3) 1/45)) #s(hole binary64 (* 1/135 (pow x 4))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) x) (* 1/3 x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (+ (* (* (* x x) 1/45) x) (* 1/3 x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) #s(hole binary64 (* 1/91125 (pow x 9))))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) #s(hole binary64 (* (pow x 9) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* 1/2025 (pow x 6))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* (pow x 6) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* (pow x 6) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) #s(hole binary64 (* 1/2025 (pow x 6))))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) #s(hole binary64 (* (pow x 6) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
Calls

3 calls:

TimeVariablePointExpression
64.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) (* x x) x 3 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) 1/45) x) (* 1/3 x)) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3) (* (pow x 3) 1/45) (pow x 3) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))
9.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) (* x x) x 3 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) 1/45) x) (* 1/3 x)) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3) (* (pow x 3) 1/45) (pow x 3) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))
7.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) (* x x) x 3 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) 1/45) x) (* 1/3 x)) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3) (* (pow x 3) 1/45) (pow x 3) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))

rewrite249.0ms (2%)

Memory
15.2MiB live, 257.0MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02822487
03462361
111841934
084741830
Stop Event
iter limit
node limit
iter limit
Counts
143 → 1 377
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 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)) #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)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))))
(/.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)) #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)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))))
(+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(pow.f64 x #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)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (* (* x x) 1/45) x) (* 1/3 x)) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* (* (* x x) 1/45) x) (* 1/3 x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) #s(hole binary64 (* 1/27 (pow x 3))))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) #s(hole binary64 (* (pow x 3) (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (pow (* 1/3 x) 3) #s(hole binary64 (* 1/27 (pow x 3))))
#s(approx (pow (* (pow x 3) 1/45) 3) #s(hole binary64 (* 1/91125 (pow x 9))))
#s(approx (* (pow x 3) 1/45) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* 1/9 (pow x 2))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* (pow x 2) (+ 1/9 (* -1/135 (pow x 2))))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* (pow x 2) (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))))))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) #s(hole binary64 (* -1/135 (pow x 4))))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) #s(hole binary64 (* (pow x 4) (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) #s(hole binary64 (* 1/2025 (pow x 6))))
#s(approx (* (* 1/3 x) (* (pow x 3) 1/45)) #s(hole binary64 (* 1/135 (pow x 4))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) x) (* 1/3 x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (+ (* (* (* x x) 1/45) x) (* 1/3 x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) #s(hole binary64 (* 1/91125 (pow x 9))))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) #s(hole binary64 (* (pow x 9) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* 1/2025 (pow x 6))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* (pow x 6) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) #s(hole binary64 (* (pow x 6) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) #s(hole binary64 (* 1/2025 (pow x 6))))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) #s(hole binary64 (* (pow x 6) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (-.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64))))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (*.f64 x x) #s(literal -1/9 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 2 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64))))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) x) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64))) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64))))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64) (*.f64 (*.f64 #s(literal -1/9 binary64) x) x))) (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (neg.f64 x))) (neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64))) x) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) x) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
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(pow.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
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(fabs.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)))
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#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))
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#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x))
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#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
#s(approx (pow (* x x) 3) (pow.f64 x #s(literal 6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
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#s(approx (* (* x x) 1/45) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) 1/45) -1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
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#s(approx (* 1/3 x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(literal 1/3 binary64))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
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#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
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#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))))
#s(approx (pow (* 1/3 x) 3) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
#s(approx (pow (* (pow x 3) 1/45) 3) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (pow x 3) 1/45) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) (fma.f64 (*.f64 x #s(literal 1/9 binary64)) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/135 binary64))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)) x) x))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/135 binary64)))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))))
#s(approx (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (* 1/3 x) (* (pow x 3) 1/45)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/135 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 (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/135 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/135 binary64) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/45) -1/3) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) -1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/9 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/9 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/91125 binary64)))
#s(approx (+ (pow (* 1/3 x) 3) (pow (* (pow x 3) 1/45) 3)) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 9 binary64))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/135 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* 1/3 x) (* 1/3 x)) (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/135 binary64) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)))
#s(approx (- (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (* 1/3 x) (* (pow x 3) 1/45))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/135 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal -1/2025 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval185.0ms (1.5%)

Memory
-6.8MiB live, 272.0MiB allocated; 27ms collecting garbage
Compiler

Compiled 60 473 to 5 697 computations (90.6% saved)

prune33.0ms (0.3%)

Memory
37.2MiB live, 87.9MiB allocated; 10ms collecting garbage
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 37371 380
Fresh000
Picked415
Done033
Total1 377111 388
Accuracy
100.0%
Counts
1 388 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
51.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
48.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
98.7%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
98.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 508 to 350 computations (31.1% saved)

series20.0ms (0.2%)

Memory
-4.4MiB live, 41.6MiB allocated; 3ms collecting garbage
Counts
45 → 108
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))
(*.f64 x x)
#s(literal 1/2025 binary64)
#s(literal -1/135 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* -1/135 x)))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 -1/135))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (- (* 1/2025 (pow x 2)) 1/135)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (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 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* 1/2025 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* (pow x 3) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (* (pow x 2) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/135 (/ 1 (pow x 2))) 1/2025)))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) x 6 1/91125 1/27 (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (* (+ (* (* x x) 1/2025) -1/135) x) (+ (* (* x x) 1/2025) -1/135) (* x x) 1/2025 -1/135 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) -1/9 (+ (* (* x x) 1/45) -1/3) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45))
5.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) x 6 1/91125 1/27 (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (* (+ (* (* x x) 1/2025) -1/135) x) (+ (* (* x x) 1/2025) -1/135) (* x x) 1/2025 -1/135 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) -1/9 (+ (* (* x x) 1/45) -1/3) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45))
4.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) x 6 1/91125 1/27 (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (* (+ (* (* x x) 1/2025) -1/135) x) (+ (* (* x x) 1/2025) -1/135) (* x x) 1/2025 -1/135 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) -1/9 (+ (* (* x x) 1/45) -1/3) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45))

rewrite204.0ms (1.7%)

Memory
-4.2MiB live, 230.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03352621
03762437
114592429
082352359
Stop Event
iter limit
node limit
iter limit
Counts
153 → 453
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))
(*.f64 x x)
#s(literal 1/2025 binary64)
#s(literal -1/135 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x))
(*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* -1/135 x)))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 -1/135))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (- (* 1/2025 (pow x 2)) 1/135)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (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 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* 1/2025 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* (pow x 3) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (* (pow x 2) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/135 (/ 1 (pow x 2))) 1/2025)))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))))
(/.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1/19683 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/729 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))))
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#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) 1/45) -1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(literal 1/3 binary64))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (/ 1 (* x x)) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
#s(approx (* (* x x) 1/45) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (*.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 3 binary64))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (/.f64 (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (/.f64 (-.f64 (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2025 binary64)) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (/.f64 (+.f64 (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -6834375 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (*.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal 1/2025 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) (*.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) 1/2025) -1/135) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* x x) 1/2025) -1/135) (*.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (*.f64 x x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.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 3 binary64))))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (*.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 3 binary64))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (*.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/45) -1/3) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) -1/3) (*.f64 (-.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.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 3 binary64))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal 1/2025 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (/.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2025 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (/.f64 (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 102515625 binary64) (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2025 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64) #s(literal -1/2025 binary64))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal -1/2025 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval489.0ms (4%)

Memory
-180.3MiB live, 185.7MiB allocated; 899ms collecting garbage
Compiler

Compiled 21 412 to 2 628 computations (87.7% saved)

prune43.0ms (0.3%)

Memory
-9.5MiB live, 53.2MiB allocated; 21ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5735578
Fresh202
Picked505
Done044
Total5809589
Accuracy
100.0%
Counts
589 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
98.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))))
47.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) (*.f64 (-.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))))
98.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/9 binary64)))))
99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
98.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 846 to 333 computations (60.6% saved)

regimes12.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (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 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) (*.f64 (-.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 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)) #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)) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/9 binary64)))))
Calls

2 calls:

6.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.6%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (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 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #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
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.6%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes63.0ms (0.5%)

Memory
-25.3MiB live, 23.2MiB allocated; 24ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
Calls

2 calls:

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

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (* x x) 1/45) 1/3) (*.f64 #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.5%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
98.8%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
98.8%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify48.0ms (0.4%)

Memory
-5.0MiB live, 29.1MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041109
150109
268109
3105109
4172109
5432109
63563109
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) 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 #s(literal 1/3 binary64) x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) 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 #s(literal 1/3 binary64) x))

derivations228.0ms (1.9%)

Memory
-2.6MiB live, 137.6MiB allocated; 37ms collecting garbage
Stop Event
fuel
Compiler

Compiled 109 to 43 computations (60.6% saved)

preprocess37.0ms (0.3%)

Memory
7.7MiB live, 54.4MiB allocated; 5ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 350 to 180 computations (48.6% saved)

end0.0ms (0%)

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

Profiling

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