x / (x^2 + 1)

Time bar (total: 2.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample618.0ms (31.3%)

Memory
-20.7MiB live, 514.4MiB allocated; 171ms collecting garbage
Samples
408.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 233.0ms
ival-mult!: 169.0ms (72.5% of total)
ival-div!: 41.0ms (17.6% of total)
ival-add!: 21.0ms (9% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

explain62.0ms (3.1%)

Memory
35.7MiB live, 82.4MiB allocated; 5ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
710-0-(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))n/o710
(*.f64 x x)overflow71
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow71
Confusion
Predicted +Predicted -
+710
-0185
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7100
-00185
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0185
171
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div!: 10.0ms (71% of total)
ival-mult!: 3.0ms (21.3% of total)
ival-add!: 1.0ms (7.1% of total)
adjust: 0.0ms (0% of total)

preprocess76.0ms (3.8%)

Memory
-33.7MiB live, 16.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01022
12822
26221
39121
416421
540821
6276821
7648121
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Symmetry

(negabs x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series3.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Counts
5 → 17
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ x (+ (* x x) 1)) x (+ (* x x) 1) (* x x) 1)
1.0ms
x
@-inf
((/ x (+ (* x x) 1)) x (+ (* x x) 1) (* x x) 1)
1.0ms
x
@0
((/ x (+ (* x x) 1)) x (+ (* x x) 1) (* x x) 1)

rewrite128.0ms (6.5%)

Memory
-2.2MiB live, 138.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068302
072267
1361257
03689234
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 111
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
Outputs
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
x
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 x (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) x))
#s(approx x x)
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))

eval11.0ms (0.6%)

Memory
25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 388 to 341 computations (75.4% saved)

prune6.0ms (0.3%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1077114
Fresh000
Picked101
Done000
Total1087115
Accuracy
100.0%
Counts
115 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
52.1%
(/.f64 x (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x))
24.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
62.5%
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
50.8%
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
49.7%
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
51.7%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 150 to 106 computations (29.3% saved)

series12.0ms (0.6%)

Memory
-30.1MiB live, 19.2MiB allocated; 6ms collecting garbage
Counts
16 → 28
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (- 1 (pow x -2)) #s(hole binary64 1))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (/ (- 1 (pow x -2)) x) (- 1 (pow x -2)) (pow x -2) -2)
1.0ms
x
@0
((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (/ (- 1 (pow x -2)) x) (- 1 (pow x -2)) (pow x -2) -2)
1.0ms
x
@inf
((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (/ (- 1 (pow x -2)) x) (- 1 (pow x -2)) (pow x -2) -2)

rewrite133.0ms (6.7%)

Memory
23.2MiB live, 161.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098494
0108454
1432430
04119426
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
44 → 258
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (- 1 (pow x -2)) #s(hole binary64 1))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
Outputs
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
x
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 x (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ (* x x) 1) (*.f64 x x))))
(neg.f64 (/.f64 x (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (fabs.f64 x) x))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3/2 binary64))) (/.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 x x))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (/.f64 x x) (/.f64 x (*.f64 x x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 x (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (*.f64 x x) x) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 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 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
#s(literal -1 binary64)
#s(approx (/ x (+ (* x x) 1)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 x (*.f64 x (pow.f64 x #s(literal -2 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
#s(literal -2 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) x))
#s(approx x x)
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- 1 (pow x -2)) x) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ (- 1 (pow x -2)) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (- 1 (pow x -2)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
#s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ x (+ (* x x) 1)) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) x) (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow x -2)) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- 1 (pow x -2)) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (- 1 (pow x -2)) #s(literal 1 binary64))
#s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (- 1 (pow x -2)) x) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))

eval34.0ms (1.7%)

Memory
-29.1MiB live, 66.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 4 372 to 855 computations (80.4% saved)

prune6.0ms (0.3%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2682270
Fresh022
Picked235
Done000
Total2707277
Accuracy
100.0%
Counts
277 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
52.1%
(/.f64 x (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x))
24.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
62.5%
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
49.7%
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
50.8%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
51.7%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 83 to 57 computations (31.3% saved)

series8.0ms (0.4%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
23 → 86
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
(/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x)
#s(approx (- 1 (pow x -2)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (- (pow x 4) 1) #s(hole binary64 -1))
#s(approx (- (pow x 4) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 x))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (* (* (- (pow x -2) -1) x) x) #s(hole binary64 1))
#s(approx (* (* (- (pow x -2) -1) x) x) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* (- (pow x -2) -1) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (- (pow x -2) -1) x) #s(hole binary64 (/ (+ 1 (pow x 2)) x)))
#s(approx (- (pow x -2) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) -1) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (- 1 (pow x -2)) #s(hole binary64 1))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 1))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (- (pow x 4) 1) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (* (- (pow x -2) -1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (- (pow x -2) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (* (- (pow x -2) -1) x) #s(hole binary64 x))
#s(approx (* (- (pow x -2) -1) x) #s(hole binary64 (* x (+ 1 (/ 1 (pow x 2))))))
#s(approx (- (pow x -2) -1) #s(hole binary64 1))
#s(approx (- (pow x -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ x (+ (* x x) 1)) (/ (- 1 (pow x -2)) x) (- 1 (pow x -2)) 1 x (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (* x x) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) -1) -1 (/ x (* (* (- (pow x -2) -1) x) x)) (* (* (- (pow x -2) -1) x) x) (* (- (pow x -2) -1) x) (- (pow x -2) -1) (pow x -2) -2)
2.0ms
x
@-inf
((/ x (+ (* x x) 1)) (/ (- 1 (pow x -2)) x) (- 1 (pow x -2)) 1 x (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (* x x) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) -1) -1 (/ x (* (* (- (pow x -2) -1) x) x)) (* (* (- (pow x -2) -1) x) x) (* (- (pow x -2) -1) x) (- (pow x -2) -1) (pow x -2) -2)
2.0ms
x
@0
((/ x (+ (* x x) 1)) (/ (- 1 (pow x -2)) x) (- 1 (pow x -2)) 1 x (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (* x x) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) -1) -1 (/ x (* (* (- (pow x -2) -1) x) x)) (* (* (- (pow x -2) -1) x) x) (* (- (pow x -2) -1) x) (- (pow x -2) -1) (pow x -2) -2)

rewrite148.0ms (7.5%)

Memory
-11.4MiB live, 227.1MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02131712
02361448
18501328
080251271
Stop Event
iter-limit
node-limit
iter-limit
Counts
109 → 677
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
(/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x)
#s(approx (- 1 (pow x -2)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (- (pow x 4) 1) #s(hole binary64 -1))
#s(approx (- (pow x 4) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 x))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (* (* (- (pow x -2) -1) x) x) #s(hole binary64 1))
#s(approx (* (* (- (pow x -2) -1) x) x) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* (- (pow x -2) -1) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (- (pow x -2) -1) x) #s(hole binary64 (/ (+ 1 (pow x 2)) x)))
#s(approx (- (pow x -2) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) -1) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (- 1 (pow x -2)) #s(hole binary64 1))
#s(approx (- 1 (pow x -2)) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 1))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (- (pow x 4) 1) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (* (- (pow x -2) -1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (- (pow x -2) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (* (- (pow x -2) -1) x) #s(hole binary64 x))
#s(approx (* (- (pow x -2) -1) x) #s(hole binary64 (* x (+ 1 (/ 1 (pow x 2))))))
#s(approx (- (pow x -2) -1) #s(hole binary64 1))
#s(approx (- (pow x -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- 1 (pow x -2)) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (* (* (- (pow x -2) -1) x) x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
Outputs
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x))
(/.f64 (/.f64 (neg.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (neg.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)))) x)
(/.f64 (neg.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))) x))
(neg.f64 (/.f64 #s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 x))
(/.f64 (-.f64 x (pow.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))) x)
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#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
#s(approx (- 1 (/ 1 (* x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
#s(approx (- 1 (/ 1 (* x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (/ x (- (pow x 4) 1)) (pow.f64 x #s(literal -3 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (+.f64 (pow.f64 x #s(literal -7 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -8 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -12 binary64)) (pow.f64 x #s(literal -8 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (pow x 4) 1) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (* (* (- (pow x -2) -1) x) x) (*.f64 x x))
#s(approx (* (* (- (pow x -2) -1) x) x) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* (- (pow x -2) -1) x) x)
#s(approx (* (- (pow x -2) -1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) x))
#s(approx (- (pow x -2) -1) #s(literal 1 binary64))
#s(approx (- (pow x -2) -1) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -8 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -12 binary64)) (pow.f64 x #s(literal -8 binary64)))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))

eval63.0ms (3.2%)

Memory
-17.4MiB live, 127.5MiB allocated; 12ms collecting garbage
Compiler

Compiled 9 996 to 1 947 computations (80.5% saved)

prune9.0ms (0.4%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New5632565
Fresh000
Picked134
Done033
Total5648572
Accuracy
100.0%
Counts
572 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
74.0%
(/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) x) x))
24.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
62.5%
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
50.9%
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
49.7%
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
50.8%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
51.7%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 97 to 66 computations (32% saved)

series4.0ms (0.2%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
10 → 47
Calls
Call 1
Inputs
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
(neg.f64 x)
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) x) x))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) x) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
Outputs
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 x))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) #s(hole binary64 1))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* -1 (/ -1 x)) x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* -1 (/ -1 x)) x) #s(hole binary64 (/ (+ 1 (pow x 2)) x)))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (/ -1 x)) x) #s(hole binary64 x))
#s(approx (+ (* -1 (/ -1 x)) x) #s(hole binary64 (* x (+ 1 (/ 1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (neg x) x (+ (* x x) -1) -1 (/ x (* (+ (* -1 (/ -1 x)) x) x)) (* (+ (* -1 (/ -1 x)) x) x) (+ (* -1 (/ -1 x)) x) (/ -1 x))
1.0ms
x
@inf
((* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (neg x) x (+ (* x x) -1) -1 (/ x (* (+ (* -1 (/ -1 x)) x) x)) (* (+ (* -1 (/ -1 x)) x) x) (+ (* -1 (/ -1 x)) x) (/ -1 x))
1.0ms
x
@0
((* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (neg x) x (+ (* x x) -1) -1 (/ x (* (+ (* -1 (/ -1 x)) x) x)) (* (+ (* -1 (/ -1 x)) x) x) (+ (* -1 (/ -1 x)) x) (/ -1 x))

rewrite216.0ms (10.9%)

Memory
-21.3MiB live, 250.1MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511002
0160879
1721814
07309786
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
57 → 255
Calls
Call 1
Inputs
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
(neg.f64 x)
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) x) x))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) x) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 x))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) #s(hole binary64 1))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* -1 (/ -1 x)) x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* -1 (/ -1 x)) x) #s(hole binary64 (/ (+ 1 (pow x 2)) x)))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* -1 (/ -1 x)) x) #s(hole binary64 x))
#s(approx (+ (* -1 (/ -1 x)) x) #s(hole binary64 (* x (+ 1 (/ 1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
Outputs
(*.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)))) (*.f64 (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))) (-.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (-.f64 (*.f64 (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)))) (*.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)))))))
(fma.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fabs.f64 x)) (fabs.f64 x) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (neg.f64 x)) (neg.f64 x) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) x) x (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (*.f64 x x) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 x (*.f64 x #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(-.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (*.f64 #s(literal 1 binary64) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(-.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (*.f64 (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) #s(literal -1 binary64)))
(+.f64 (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(+.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (neg.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 x (-.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
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(fma.f64 x x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
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(+.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
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(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
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(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) x) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))) (-.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) x x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 x (pow.f64 x #s(literal -2 binary64)) x)
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal -1 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) x))
(-.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (pow.f64 x #s(literal -1 binary64)) x)
(+.f64 x (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) x)
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) x))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x))
#s(approx (neg x) (neg.f64 x))
#s(approx x x)
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) x)
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) x))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) #s(literal 1 binary64))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* -1 (/ -1 x)) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (* -1 (/ -1 x)) x) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (/ x (- (pow x 4) 1)) (pow.f64 x #s(literal -3 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (+.f64 (pow.f64 x #s(literal -7 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -8 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -12 binary64)) (pow.f64 x #s(literal -8 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) x))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) (*.f64 x x))
#s(approx (* (+ (* -1 (/ -1 x)) x) x) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* -1 (/ -1 x)) x) x)
#s(approx (+ (* -1 (/ -1 x)) x) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -8 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -12 binary64)) (pow.f64 x #s(literal -8 binary64)))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (/ x (* (+ (* -1 (/ -1 x)) x) x)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))

eval82.0ms (4.2%)

Memory
11.0MiB live, 111.4MiB allocated; 31ms collecting garbage
Compiler

Compiled 4 745 to 739 computations (84.4% saved)

prune7.0ms (0.3%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2641265
Fresh000
Picked112
Done156
Total2667273
Accuracy
100.0%
Counts
273 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
24.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
99.8%
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
62.5%
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
50.9%
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
50.8%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
51.7%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 225 to 110 computations (51.1% saved)

regimes29.0ms (1.4%)

Memory
-16.9MiB live, 14.2MiB allocated; 23ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) x) x))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(/.f64 x (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
Calls

2 calls:

24.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
4.0ms
x
Results
AccuracySegmentsBranch
99.8%1(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
99.8%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.2%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%2(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
100.0%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.2%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
Outputs
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
82.3%4(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
99.0%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
Outputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(approx (- 1 (pow x -2)) #s(literal 1 binary64)) x))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

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 (/ x (+ (* x x) 1)) x)
Outputs
#s(approx (/ x (+ (* x x) 1)) x)
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
51.7%1(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
51.7%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch2.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
118610.27833818726
32239622416028.543
Samples
0.0ms16×0valid
Compiler

Compiled 33 to 27 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch8.0ms (0.4%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.008880435725327665
1.2710924077637151
Samples
3.0ms112×0valid
Compiler

Compiled 234 to 184 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult!: 1.0ms (73.7% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch6.0ms (0.3%)

Memory
-41.2MiB live, 6.0MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
0.008880435725327665
1.2710924077637151
Samples
1.0ms48×0valid
Compiler

Compiled 192 to 149 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations210.0ms (10.6%)

Memory
-4.9MiB live, 190.2MiB allocated; 65ms collecting garbage
Stop Event
fuel
Compiler

Compiled 109 to 35 computations (67.9% saved)

preprocess84.0ms (4.2%)

Memory
34.7MiB live, 127.5MiB allocated; 12ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 464 to 226 computations (51.3% saved)

end0.0ms (0%)

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

Profiling

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