x / (x^2 + 1)

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample1000.0ms (33.9%)

Memory
-5.3MiB live, 945.7MiB allocated; 256ms collecting garbage
Samples
649.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 284.0ms
ival-mult: 176.0ms (62% of total)
ival-div: 55.0ms (19.4% of total)
ival-add: 43.0ms (15.2% of total)
exact: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain63.0ms (2.1%)

Memory
22.7MiB live, 116.6MiB allocated; 5ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
590-0-(/.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/o590
(*.f64 x x)overflow59
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow59
Confusion
Predicted +Predicted -
+590
-0197
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5900
-00197
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0197
159
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
21.0ms512×0valid
Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.2% of total)
ival-div: 3.0ms (28.7% of total)
ival-add: 2.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess323.0ms (10.9%)

Memory
12.9MiB live, 291.4MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
12822
26221
39121
416421
540821
6276821
7648121
057
087
1157
2377
3777
41387
53477
623917
759917
082306
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series3.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB 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)

rewrite172.0ms (5.8%)

Memory
6.2MiB live, 201.5MiB allocated; 68ms 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)))

eval17.0ms (0.6%)

Memory
-22.5MiB live, 21.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 388 to 341 computations (75.4% saved)

prune6.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1068114
Fresh000
Picked101
Done000
Total1078115
Accuracy
100.0%
Counts
115 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
56.8%
(/.f64 x (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
31.7%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
63.0%
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
49.0%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
53.4%
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
48.0%
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
48.9%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 180 to 124 computations (31.1% saved)

series8.0ms (0.3%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Counts
18 → 56
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)
#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)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 x x #s(literal -1 binary64))
(*.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)
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 (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#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 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 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 (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (pow x 5)))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#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 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 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 (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#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)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (+ (* (pow x 3) (+ (* x x) -1)) x) (pow x 3) 3 (+ (* x x) -1) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4)
2.0ms
x
@inf
((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (+ (* (pow x 3) (+ (* x x) -1)) x) (pow x 3) 3 (+ (* x x) -1) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4)
2.0ms
x
@0
((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (+ (* (pow x 3) (+ (* x x) -1)) x) (pow x 3) 3 (+ (* x x) -1) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4)

rewrite220.0ms (7.5%)

Memory
-15.3MiB live, 207.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711147
0184950
1762922
07540915
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
74 → 411
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)
#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)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 x x #s(literal -1 binary64))
(*.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)
#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 (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#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 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 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 (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (pow x 5)))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#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 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 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 (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#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)))))
Outputs
(*.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 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 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 #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #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))))
(*.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #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)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.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 x (-.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 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))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
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(fma.f64 x (*.f64 x (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) x)) (fabs.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) #s(literal 0 binary64)))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(expm1.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) x)) (fabs.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) #s(literal 0 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
#s(literal 4 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 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 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 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 (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) x)
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#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 (- (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 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 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 (- (pow x 4) 1) #s(literal -1 binary64))
#s(approx (- (pow x 4) 1) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 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 x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) (pow.f64 x #s(literal 5 binary64)))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 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 (/ 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 (- (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 (+ (* (pow x 3) (+ (* x x) -1)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (pow x 3) (+ (* x x) -1)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64)))))
#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))))

eval101.0ms (3.4%)

Memory
18.0MiB live, 66.4MiB allocated; 64ms collecting garbage
Compiler

Compiled 7 829 to 1 174 computations (85% saved)

prune16.0ms (0.5%)

Memory
-25.4MiB live, 25.3MiB allocated; 8ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4186424
Fresh213
Picked325
Done000
Total4239432
Accuracy
100.0%
Counts
432 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
31.7%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
63.0%
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
63.0%
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
48.0%
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
78.3%
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
49.0%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
53.4%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
48.9%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 209 to 128 computations (38.8% saved)

series6.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Counts
18 → 80
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
x
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.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))
(fma.f64 x x #s(literal -1 binary64))
(/.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)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
Outputs
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 x))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 1))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))))
#s(approx (+ (* (neg x) x) -1) #s(hole binary64 -1))
#s(approx (+ (* (neg x) x) -1) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 x) #s(hole binary64 (/ 1 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 (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#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) -1) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* x (- (pow x 2) 1))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (/ 1 x)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))))
#s(approx (+ (* (neg x) x) -1) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (+ (* (neg x) x) -1) #s(hole binary64 (* -1 (* (pow x 2) (+ 1 (/ 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 (- (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 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) -1) x) (* x x)) x) #s(hole binary64 (pow x 5)))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* (pow x 3) (- 1 (/ 1 (pow x 2))))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#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 (* (/ 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 x) -1) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))))
Calls

3 calls:

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

rewrite126.0ms (4.3%)

Memory
39.1MiB live, 130.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02101699
02291455
18591377
080201299
Stop Event
iter limit
node limit
iter limit
Counts
98 → 396
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
x
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.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))
(fma.f64 x x #s(literal -1 binary64))
(/.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)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 x))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 1))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))))
#s(approx (+ (* (neg x) x) -1) #s(hole binary64 -1))
#s(approx (+ (* (neg x) x) -1) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 x) #s(hole binary64 (/ 1 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 (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#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) -1) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* x (- (pow x 2) 1))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (/ 1 x)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))))
#s(approx (+ (* (neg x) x) -1) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (+ (* (neg x) x) -1) #s(hole binary64 (* -1 (* (pow x 2) (+ 1 (/ 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 (- (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 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) -1) x) (* x x)) x) #s(hole binary64 (pow x 5)))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* (pow x 3) (- 1 (/ 1 (pow x 2))))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#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 (* (/ 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 x) -1) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))))
Outputs
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (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 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) 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 #s(literal -1 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(*.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #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)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.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 x (-.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 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))) (fma.f64 x x #s(literal 1 binary64)))
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(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (*.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)) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.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)) x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.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 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x) (neg.f64 x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 x))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x) (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 x) (neg.f64 x))
(fma.f64 (*.f64 x x) x (neg.f64 x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) x) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (*.f64 x x) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) x)
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg x) x) -1)) #s(literal 1 binary64))
#s(approx (/ -1 (+ (* (neg x) x) -1)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
#s(approx (/ -1 (+ (* (neg x) x) -1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ -1 (+ (* (neg x) x) -1)) (fma.f64 (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (neg x) x) -1) #s(literal -1 binary64))
#s(approx (+ (* (neg x) x) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) x)
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) x)
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (* x (/ -1 (+ (* (neg 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 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 (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#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) -1) x) (* x x)) x) x)
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
#s(approx (* (+ (* x x) -1) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg 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 (+ (* (neg x) x) -1)) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ -1 (+ (* (neg x) x) -1)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -4 binary64))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
#s(approx (/ -1 (+ (* (neg x) x) -1)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal -8 binary64))))
#s(approx (+ (* (neg x) x) -1) (*.f64 (neg.f64 x) x))
#s(approx (+ (* (neg x) x) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg x) x) -1))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg 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 x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (pow.f64 x #s(literal 5 binary64)))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (+ (* x x) -1) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (+ (* x x) -1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg x) x) -1))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg x) x) -1))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* x (/ -1 (+ (* (neg x) x) -1))) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* x (/ -1 (+ (* (neg 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 (/ -1 (+ (* (neg x) x) -1))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (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 x) -1) x) (* x x)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64)))))
#s(approx (* (+ (* x x) -1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))

eval58.0ms (2%)

Memory
-4.5MiB live, 88.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 9 689 to 1 344 computations (86.1% saved)

prune13.0ms (0.4%)

Memory
-15.8MiB live, 30.7MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4843487
Fresh022
Picked235
Done022
Total48610496
Accuracy
100.0%
Counts
496 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
31.7%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
63.0%
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
63.0%
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
48.0%
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
78.3%
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
49.0%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
48.0%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
53.4%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
48.9%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 214 to 128 computations (40.2% saved)

series14.0ms (0.5%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Counts
23 → 131
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
(neg.f64 x)
(*.f64 x x)
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) (fabs.f64 x))
(fabs.f64 x)
Outputs
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* x (/ 1 (+ (* 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 (/ 1 (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))))
#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 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 x) -1) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* x (- (pow x 2) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (+ (* (* x x) (* x x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* x x) (* x x)) -1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (* (pow x 2) (+ 1 (* -1 (pow (fabs x) 2)))))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (* (pow (fabs x) 2) (+ 1 (* -1 (pow (fabs x) 2)))))) (+ 1 (* -1 (pow (fabs x) 2)))))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (* (pow (fabs x) 4) (+ 1 (* -1 (pow (fabs x) 2)))))) (* (pow (fabs x) 2) (+ 1 (* -1 (pow (fabs x) 2)))))) (+ 1 (* -1 (pow (fabs x) 2)))))))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* x (- (* -1 (* (pow x 2) (pow (fabs x) 2))) 1))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1 (* (pow x 2) (pow (fabs x) 4))) (pow (fabs x) 2))) 1))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (pow (fabs x) 6))) (pow (fabs x) 4))) (pow (fabs x) 2))) 1))))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(hole binary64 (- (* (pow x 2) (pow (fabs x) 2)) 1)))
#s(approx (* (* x x) (fabs x)) #s(hole binary64 (* (pow x 2) (fabs x))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))))
#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 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) x) (* x x)) x) #s(hole binary64 (pow x 5)))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* (pow x 3) (- 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 (- (* 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) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (+ (* (* x x) (* x x)) -1) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) -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 (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ x (pow (fabs x) 2))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (- (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (/ 1 (pow (fabs x) 2))) (/ 1 (* (pow x 2) (pow (fabs x) 2)))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (- (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (+ (/ 1 (* (pow x 4) (pow (fabs x) 6))) (/ 1 (pow (fabs x) 2)))) (+ (/ 1 (* (pow x 2) (pow (fabs x) 2))) (/ 1 (* (pow x 4) (pow (fabs x) 4))))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (- (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (+ (/ 1 (* (pow x 6) (pow (fabs x) 8))) (/ 1 (pow (fabs x) 2)))) (+ (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (* (pow x 4) (pow (fabs x) 2)))) (+ (/ 1 (* (pow x 2) (pow (fabs x) 2))) (/ 1 (* (pow x 6) (pow (fabs x) 6)))))))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (/ 1 (* x (pow (fabs x) 2)))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (/ 1 (pow (fabs x) 2))) x)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (+ (/ 1 (* (pow x 4) (pow (fabs x) 6))) (/ 1 (pow (fabs x) 2)))) x)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (+ (/ 1 (* (pow x 4) (pow (fabs x) 6))) (+ (/ 1 (* (pow x 6) (pow (fabs x) 8))) (/ 1 (pow (fabs x) 2))))) x)))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(hole binary64 (* (pow x 2) (pow (fabs x) 2))))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(hole binary64 (* (pow x 2) (- (pow (fabs x) 2) (/ 1 (pow x 2))))))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* x (/ 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 (+ (* 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 (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))))
#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 (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -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 (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (+ (* (* x x) (* x x)) -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 (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (pow x 2))) (/ 1 (pow (fabs x) 2)))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (* (pow x 4) (pow (fabs x) 2)))) (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (pow x 2)))) (/ 1 (pow (fabs x) 2)))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (* (pow x 4) (pow (fabs x) 2)))) (+ (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (* (pow x 6) (pow (fabs x) 4)))) (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (pow x 2))))) (/ 1 (pow (fabs x) 2)))))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 6))) (/ 1 (pow (fabs x) 4))) (pow x 2))) (/ 1 (pow (fabs x) 2))) x))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 8))) (/ 1 (pow (fabs x) 6))) (pow x 4))) (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (/ 1 (pow (fabs x) 2)))) x))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* x (/ 1 (+ (* x x) 1))) x (/ 1 (+ (* x x) 1)) 1 (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (neg x) (* x x) (* (/ x (- (pow x 4) 1)) (- (* x x) 1)) (/ x (- (pow x 4) 1)) (- (* x x) 1) (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* x x) (* x x)) -1)) (+ (* (* x x) (* x x)) -1) -1 (+ (* x x) -1) (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* (* (* x x) (fabs x)) (fabs x)) -1) (* (* x x) (fabs x)) (fabs x))
4.0ms
x
@-inf
((* x (/ 1 (+ (* x x) 1))) x (/ 1 (+ (* x x) 1)) 1 (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (neg x) (* x x) (* (/ x (- (pow x 4) 1)) (- (* x x) 1)) (/ x (- (pow x 4) 1)) (- (* x x) 1) (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* x x) (* x x)) -1)) (+ (* (* x x) (* x x)) -1) -1 (+ (* x x) -1) (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* (* (* x x) (fabs x)) (fabs x)) -1) (* (* x x) (fabs x)) (fabs x))
3.0ms
x
@0
((* x (/ 1 (+ (* x x) 1))) x (/ 1 (+ (* x x) 1)) 1 (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (neg x) (* x x) (* (/ x (- (pow x 4) 1)) (- (* x x) 1)) (/ x (- (pow x 4) 1)) (- (* x x) 1) (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* x x) (* x x)) -1)) (+ (* (* x x) (* x x)) -1) -1 (+ (* x x) -1) (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* (* (* x x) (fabs x)) (fabs x)) -1) (* (* x x) (fabs x)) (fabs x))

rewrite176.0ms (6%)

Memory
-37.0MiB live, 105.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03943476
04262784
120462596
085802565
Stop Event
iter limit
node limit
iter limit
Counts
154 → 369
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
(neg.f64 x)
(*.f64 x x)
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) (fabs.f64 x))
(fabs.f64 x)
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* x (/ 1 (+ (* 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 (/ 1 (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))))
#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 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 x) -1) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* x (- (pow x 2) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (+ (* (* x x) (* x x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* x x) (* x x)) -1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (* (pow x 2) (+ 1 (* -1 (pow (fabs x) 2)))))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (* (pow (fabs x) 2) (+ 1 (* -1 (pow (fabs x) 2)))))) (+ 1 (* -1 (pow (fabs x) 2)))))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (* (pow (fabs x) 4) (+ 1 (* -1 (pow (fabs x) 2)))))) (* (pow (fabs x) 2) (+ 1 (* -1 (pow (fabs x) 2)))))) (+ 1 (* -1 (pow (fabs x) 2)))))))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* x (- (* -1 (* (pow x 2) (pow (fabs x) 2))) 1))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1 (* (pow x 2) (pow (fabs x) 4))) (pow (fabs x) 2))) 1))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (pow (fabs x) 6))) (pow (fabs x) 4))) (pow (fabs x) 2))) 1))))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(hole binary64 (- (* (pow x 2) (pow (fabs x) 2)) 1)))
#s(approx (* (* x x) (fabs x)) #s(hole binary64 (* (pow x 2) (fabs x))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))))
#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 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) x) (* x x)) x) #s(hole binary64 (pow x 5)))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* (pow x 3) (- 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 (- (* 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) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (+ (* (* x x) (* x x)) -1) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) -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 (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ x (pow (fabs x) 2))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (- (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (/ 1 (pow (fabs x) 2))) (/ 1 (* (pow x 2) (pow (fabs x) 2)))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (- (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (+ (/ 1 (* (pow x 4) (pow (fabs x) 6))) (/ 1 (pow (fabs x) 2)))) (+ (/ 1 (* (pow x 2) (pow (fabs x) 2))) (/ 1 (* (pow x 4) (pow (fabs x) 4))))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (- (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (+ (/ 1 (* (pow x 6) (pow (fabs x) 8))) (/ 1 (pow (fabs x) 2)))) (+ (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (* (pow x 4) (pow (fabs x) 2)))) (+ (/ 1 (* (pow x 2) (pow (fabs x) 2))) (/ 1 (* (pow x 6) (pow (fabs x) 6)))))))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (/ 1 (* x (pow (fabs x) 2)))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (/ 1 (pow (fabs x) 2))) x)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (+ (/ 1 (* (pow x 4) (pow (fabs x) 6))) (/ 1 (pow (fabs x) 2)))) x)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (+ (/ 1 (* (pow x 4) (pow (fabs x) 6))) (+ (/ 1 (* (pow x 6) (pow (fabs x) 8))) (/ 1 (pow (fabs x) 2))))) x)))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(hole binary64 (* (pow x 2) (pow (fabs x) 2))))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(hole binary64 (* (pow x 2) (- (pow (fabs x) 2) (/ 1 (pow x 2))))))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* x (/ 1 (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* x (/ 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 (+ (* 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 (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))))
#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 (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (+ (* (* x x) (* x x)) -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 (+ (* (* x x) (* x x)) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (+ (* (* x x) (* x x)) -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 (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (pow x 2))) (/ 1 (pow (fabs x) 2)))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (* (pow x 4) (pow (fabs x) 2)))) (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (pow x 2)))) (/ 1 (pow (fabs x) 2)))))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (* (pow x 4) (pow (fabs x) 2)))) (+ (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (* (pow x 6) (pow (fabs x) 4)))) (* -1 (/ (- (/ 1 (pow (fabs x) 4)) (/ 1 (pow (fabs x) 2))) (pow x 2))))) (/ 1 (pow (fabs x) 2)))))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 6))) (/ 1 (pow (fabs x) 4))) (pow x 2))) (/ 1 (pow (fabs x) 2))) x))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 2) (pow (fabs x) 8))) (/ 1 (pow (fabs x) 6))) (pow x 4))) (+ (/ 1 (* (pow x 2) (pow (fabs x) 4))) (/ 1 (pow (fabs x) 2)))) x))))
Outputs
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.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)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.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 (-.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 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.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 (neg.f64 (neg.f64 x)) (neg.f64 (neg.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) (neg.f64 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) x))
(/.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) x))))
(fma.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x) x x)
(fma.f64 (*.f64 x x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x)
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x
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#s(approx (fabs x) x)
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#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) x)
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#s(approx (neg x) (neg.f64 x))
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#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (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 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (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 (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) x)
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (neg.f64 x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (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 (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (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 (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(literal -1 binary64))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#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 x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) x)
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (neg.f64 x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) #s(literal -1 binary64))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (* (* x x) (fabs x)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (fabs 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 (/ 1 (+ (* x x) 1)) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ 1 (+ (* x x) 1)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -4 binary64))))
#s(approx (/ 1 (+ (* x x) 1)) (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
#s(approx (/ 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))) (*.f64 x x)))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)))
#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) x) (* x x)) x) (pow.f64 x #s(literal 5 binary64)))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (+ (* x x) -1) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (+ (* x x) -1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -8 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -12 binary64)) (pow.f64 x #s(literal -8 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* x x) 1) (*.f64 x x))
#s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -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 (+ (* (* (* x x) (fabs x)) (fabs x)) -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 (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (pow.f64 x #s(literal -3 binary64)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+.f64 (pow.f64 x #s(literal -7 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -8 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -12 binary64)) (pow.f64 x #s(literal -8 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -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 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (/.f64 x (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))) x))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 x #s(literal -10 binary64)) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal -8 binary64))) x))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 x #s(literal -14 binary64)) (pow.f64 x #s(literal -2 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal -10 binary64)) (pow.f64 x #s(literal -8 binary64))) #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal -12 binary64)) (pow.f64 x #s(literal -4 binary64))))) x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (pow.f64 x #s(literal -3 binary64)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 x #s(literal -10 binary64)) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 x #s(literal -10 binary64)) (+.f64 (pow.f64 x #s(literal -14 binary64)) (pow.f64 x #s(literal -2 binary64))))) x))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* (* (* x x) (fabs x)) (fabs x)) -1) (*.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ x (+ (* x x) 1)) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ (* x x) 1)) (neg.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) x)))
#s(approx (/ x (+ (* x x) 1)) (neg.f64 (/.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))) x)))
#s(approx (/ x (+ (* x x) 1)) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ (* x x) 1)) (neg.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) x)))
#s(approx (/ x (+ (* x x) 1)) (neg.f64 (/.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))) x)))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (* (+ (* x x) -1) x) (* x x)) x) (neg.f64 (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* x x) -1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (/ x (- (pow x 4) 1)) (- (* x x) 1)) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (- (* x x) 1)) (neg.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (- (* x x) 1)) (neg.f64 (/.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))) x)))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 (/.f64 (-.f64 (neg.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)) (neg.f64 (/.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 x #s(literal 3 binary64)))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (neg.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) x)))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (neg.f64 (/.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))) x)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (neg.f64 (/.f64 (-.f64 (neg.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 (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (neg.f64 (/.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 x #s(literal 3 binary64)))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal -10 binary64)) (pow.f64 x #s(literal -8 binary64))))) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -10 binary64)) (pow.f64 x #s(literal -8 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal -10 binary64)) (pow.f64 x #s(literal -8 binary64))))) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (neg.f64 (/.f64 (/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -8 binary64)) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 x x)) x)))
#s(approx (/ x (+ (* (* (* x x) (fabs x)) (fabs x)) -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -10 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) x)))

eval40.0ms (1.4%)

Memory
23.7MiB live, 66.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 8 555 to 1 150 computations (86.6% saved)

prune16.0ms (0.5%)

Memory
-14.8MiB live, 30.4MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New3811382
Fresh000
Picked145
Done055
Total38210392
Accuracy
100.0%
Counts
392 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
31.7%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
63.0%
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
63.0%
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
48.0%
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
78.3%
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
49.0%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
48.0%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
53.4%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
48.9%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 380 to 153 computations (59.7% saved)

regimes11.0ms (0.4%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (*.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)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
#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))
(/.f64 x (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #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)))
Outputs
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

5.0ms
x
5.0ms
(/.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 (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (*.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)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (*.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)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
Outputs
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.8MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (*.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)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB 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(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
Outputs
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #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
81.4%6(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
98.8%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB 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(literal 1 binary64) x))
Outputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.2%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.2%)

Memory
-51.4MiB live, 4.1MiB allocated; 7ms 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:

5.0ms
x
1.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
48.9%1(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
48.9%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch3.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
15789251.842846075
35668341926.571884
Samples
1.0ms32×0valid
Compiler

Compiled 64 to 47 computations (26.6% saved)

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

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
15789251.842846075
35668341926.571884
Compiler

Compiled 62 to 43 computations (30.6% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
15789251.842846075
35668341926.571884
Compiler

Compiled 29 to 24 computations (17.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
15789251.842846075
35668341926.571884
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch9.0ms (0.3%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
0.7048413245886409
11.824324070201369
Samples
4.0ms112×0valid
Compiler

Compiled 248 to 170 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (45.6% of total)
ival-add: 1.0ms (45.6% of total)
ival-mult: 1.0ms (45.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.2%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
0.7048413245886409
11.824324070201369
Samples
2.0ms64×0valid
Compiler

Compiled 150 to 121 computations (19.3% saved)

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

simplify49.0ms (1.7%)

Memory
-20.5MiB live, 26.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040176
155176
2111175
3257174
4938174
55893174
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 20000000 binary64)) (*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 20000000 binary64)) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 20000000 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ x (+ (* x x) 1)) x) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) x)
Outputs
(if (<=.f64 x #s(literal 20000000 binary64)) (*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 20000000 binary64)) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 20000000 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ x (+ (* x x) 1)) x) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) x)

derivations339.0ms (11.5%)

Memory
8.1MiB live, 196.7MiB allocated; 50ms collecting garbage
Stop Event
fuel
Compiler

Compiled 176 to 42 computations (76.1% saved)

preprocess132.0ms (4.5%)

Memory
-16.3MiB live, 127.6MiB allocated; 19ms collecting garbage
Compiler

Compiled 442 to 142 computations (67.9% saved)

end0.0ms (0%)

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

Profiling

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