x / (x^2 + 1)

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample635.0ms (23.5%)

Memory
-23.6MiB live, 917.2MiB allocated; 174ms collecting garbage
Samples
391.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult!: 59.0ms (50.4% of total)
ival-div!: 38.0ms (32.5% of total)
ival-add!: 19.0ms (16.2% of total)
adjust: 2.0ms (1.7% of total)
Bogosity

explain59.0ms (2.2%)

Memory
31.2MiB live, 125.8MiB allocated; 4ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-0-(/.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/o640
(*.f64 x x)overflow64
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow64
Confusion
Predicted +Predicted -
+640
-0192
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6400
-00192
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0192
164
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
19.0ms512×0valid
Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div!: 4.0ms (48% of total)
ival-mult!: 3.0ms (36% of total)
ival-add!: 1.0ms (12% of total)
adjust: 0.0ms (0% of total)

preprocess231.0ms (8.5%)

Memory
-32.2MiB live, 260.0MiB allocated; 33ms 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
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series3.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB 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)

rewrite154.0ms (5.7%)

Memory
33.5MiB live, 173.1MiB allocated; 46ms 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)))

eval14.0ms (0.5%)

Memory
-19.3MiB live, 29.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 388 to 341 computations (75.4% saved)

prune5.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1095114
Fresh000
Picked101
Done000
Total1105115
Accuracy
100.0%
Counts
115 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
29.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
61.8%
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
53.2%
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
49.8%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 98 to 68 computations (30.6% saved)

series7.0ms (0.3%)

Memory
-31.0MiB live, 16.2MiB allocated; 2ms collecting garbage
Counts
17 → 48
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 x x #s(literal -1 binary64))
Outputs
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (- (pow x 4) 1) #s(hole binary64 -1))
#s(approx (- (pow x 4) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (+ (* 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 (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (- (pow x 4) 1) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* 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)))))
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)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) -1))
2.0ms
x
@inf
((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) -1))
2.0ms
x
@0
((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) -1))

rewrite222.0ms (8.2%)

Memory
40.0MiB live, 265.5MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153973
0166799
1711772
07179763
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
65 → 376
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (- (pow x 4) 1) #s(hole binary64 -1))
#s(approx (- (pow x 4) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (+ (* 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 (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (- (pow x 4) 1) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* 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)))))
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 (fma.f64 x 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 #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 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (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 4 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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))))
(/.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 (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))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 x (neg.f64 (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))))
(fma.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (neg.f64 x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fabs.f64 x)) (fabs.f64 x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (neg.f64 x) (*.f64 (neg.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)))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.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)))))
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#s(literal 4 binary64)
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(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
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(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
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(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) x))
#s(approx x x)
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ 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 (- (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 x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (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 (-.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)) (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 (- (pow x 4) 1)) (pow.f64 x #s(literal -3 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (+.f64 (pow.f64 x #s(literal -7 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -8 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -12 binary64)) (pow.f64 x #s(literal -8 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (pow x 4) 1) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ 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))))

eval76.0ms (2.8%)

Memory
-17.5MiB live, 85.8MiB allocated; 49ms collecting garbage
Compiler

Compiled 5 245 to 948 computations (81.9% saved)

prune8.0ms (0.3%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3324336
Fresh000
Picked235
Done000
Total3347341
Accuracy
100.0%
Counts
341 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
29.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
61.8%
(*.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)))
61.8%
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
48.6%
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
53.2%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
49.8%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 84 to 52 computations (38.1% saved)

series14.0ms (0.5%)

Memory
-22.8MiB live, 24.0MiB allocated; 2ms collecting garbage
Counts
18 → 92
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
(neg.f64 x)
(fma.f64 x x #s(literal -1 binary64))
#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))
(*.f64 x x)
(*.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 (+ (* 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 #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* x 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) #s(hole binary64 (pow x 2)))
#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 (+ (* 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 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 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 (+ (* 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 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 (+ (* x x) 1)) (/ 1 x) 1 x (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (neg x) (+ (* x x) -1) -1 (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* x x) (* x x)) -1)) (+ (* (* x x) (* x x)) -1) (* x x) (* (/ 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
@0
((/ x (+ (* x x) 1)) (/ 1 x) 1 x (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (neg x) (+ (* x x) -1) -1 (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* x x) (* x x)) -1)) (+ (* (* x x) (* x x)) -1) (* x x) (* (/ 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 (+ (* x x) 1)) (/ 1 x) 1 x (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (neg x) (+ (* x x) -1) -1 (* (/ x (+ (* (* x x) (* x x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* x x) (* x x)) -1)) (+ (* (* x x) (* x x)) -1) (* x x) (* (/ 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))

rewrite735.0ms (27.1%)

Memory
-64.0MiB live, 317.9MiB allocated; 973ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03262691
03492092
118741954
0100721927
Stop Event
iter-limit
node-limit
iter-limit
Counts
110 → 236
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
(neg.f64 x)
(fma.f64 x x #s(literal -1 binary64))
#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))
(*.f64 x x)
(*.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 (+ (* 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 #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* x 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) #s(hole binary64 (pow x 2)))
#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 (+ (* 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 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 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 (+ (* 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 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
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (*.f64 #s(literal -1 binary64) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)))) (*.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (*.f64 #s(literal -1 binary64) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (*.f64 x x)) (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (*.f64 x x)) (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) #s(literal -1 binary64))))))
(fma.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (*.f64 #s(literal -1 binary64) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(fma.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (*.f64 x x) (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))) (*.f64 #s(literal -1 binary64) #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))))
(+.f64 (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (*.f64 x x)) (*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) #s(literal -1 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.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)) (neg.f64 (*.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) (neg.f64 (*.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) (neg.f64 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
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(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
x
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* 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 (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (fabs x) x)
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) x)
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ x (- (pow x 4) 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 (- (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 (neg x) (neg.f64 x))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (-.f64 (*.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 (*.f64 x x) #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 (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) (*.f64 x x))
#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 (* (/ 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 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 (- (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)))

eval27.0ms (1%)

Memory
44.5MiB live, 44.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 636 to 853 computations (87.1% saved)

prune9.0ms (0.3%)

Memory
-29.5MiB live, 17.3MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2882290
Fresh000
Picked224
Done033
Total2907297
Accuracy
100.0%
Counts
297 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
29.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
61.8%
(*.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)))
48.6%
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
53.2%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
49.4%
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
49.8%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 88 to 56 computations (36.4% saved)

series9.0ms (0.3%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
14 → 60
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x 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 x (fma.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) x)
(fabs.f64 x)
#s(literal -1 binary64)
(fma.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 x) 1) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 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) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* x (fabs x)) 1))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* x (- (* -1 (* (pow x 2) (fabs x))) (* -1 (fabs x)))) 1))))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (* x (- (* -1 (* (pow x 3) (fabs x))) 1))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (* x (- (* (pow x 3) (- (* -1 (* (pow x 3) (pow (fabs x) 2))) (fabs x))) 1))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (* x (- (* (pow x 3) (- (* (pow x 3) (- (* -1 (* (pow x 3) (pow (fabs x) 3))) (pow (fabs x) 2))) (fabs x))) 1))))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 (- (* (pow x 3) (fabs x)) 1)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (+ (* 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)) 1) x) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 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 (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 (fabs x))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (- (/ 1 (fabs x)) (/ 1 (* (pow x 2) (fabs x))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (- (+ (/ 1 (fabs x)) (/ 1 (* (pow x 3) (pow (fabs x) 2)))) (/ 1 (* (pow x 2) (fabs x))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (- (+ (/ 1 (fabs x)) (/ 1 (* (pow x 3) (pow (fabs x) 2)))) (+ (/ 1 (* (pow x 2) (fabs x))) (/ 1 (* (pow x 5) (pow (fabs x) 2)))))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ 1 (* (pow x 2) (fabs x)))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (fabs x)) (/ 1 (* (pow x 3) (pow (fabs x) 2)))) (pow x 2))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (fabs x)) (+ (/ 1 (* (pow x 3) (pow (fabs x) 2))) (/ 1 (* (pow x 6) (pow (fabs x) 3))))) (pow x 2))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (fabs x)) (+ (/ 1 (* (pow x 3) (pow (fabs x) 2))) (+ (/ 1 (* (pow x 6) (pow (fabs x) 3))) (/ 1 (* (pow x 9) (pow (fabs x) 4)))))) (pow x 2))))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 (* (pow x 3) (fabs x))))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 (* (pow x 3) (- (fabs x) (/ 1 (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) 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)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (- (+ (* -1 (/ (- (/ 1 (* (pow x 2) (pow (fabs x) 2))) (/ 1 (pow (fabs x) 2))) (pow x 3))) (/ 1 (fabs x))) (/ 1 (* (pow x 2) (fabs x))))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) (pow (fabs x) 4))) (/ 1 (pow (fabs x) 3))) (pow x 3))) (/ 1 (pow (fabs x) 2))) (pow x 3))) (/ 1 (fabs x))) (pow x 2))))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (fabs x)) (/ 1 (pow x 3)))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ x (+ (* x x) 1)) (* (+ (* (- (* x x) 1) (* x x)) 1) x) (+ (* (- (* x x) 1) (* x x)) 1) (- (* x x) 1) (* x x) x 1 (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* (* (* x x) x) (fabs x)) -1) (* (* x x) x) (fabs x) -1 (+ (* x x) -1))
3.0ms
x
@-inf
((/ x (+ (* x x) 1)) (* (+ (* (- (* x x) 1) (* x x)) 1) x) (+ (* (- (* x x) 1) (* x x)) 1) (- (* x x) 1) (* x x) x 1 (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* (* (* x x) x) (fabs x)) -1) (* (* x x) x) (fabs x) -1 (+ (* x x) -1))
2.0ms
x
@0
((/ x (+ (* x x) 1)) (* (+ (* (- (* x x) 1) (* x x)) 1) x) (+ (* (- (* x x) 1) (* x x)) 1) (- (* x x) 1) (* x x) x 1 (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* (* (* x x) x) (fabs x)) -1) (* (* x x) x) (fabs x) -1 (+ (* x x) -1))

rewrite201.0ms (7.4%)

Memory
-24.9MiB live, 162.3MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261470
02471245
112111092
088121077
Stop Event
iter-limit
node-limit
iter-limit
Counts
74 → 205
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x 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 x (fma.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x) #s(literal -1 binary64))
(*.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)) #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)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 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) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* x (fabs x)) 1))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* x (- (* -1 (* (pow x 2) (fabs x))) (* -1 (fabs x)))) 1))))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (* x (- (* -1 (* (pow x 3) (fabs x))) 1))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (* x (- (* (pow x 3) (- (* -1 (* (pow x 3) (pow (fabs x) 2))) (fabs x))) 1))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (* x (- (* (pow x 3) (- (* (pow x 3) (- (* -1 (* (pow x 3) (pow (fabs x) 3))) (pow (fabs x) 2))) (fabs x))) 1))))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 (- (* (pow x 3) (fabs x)) 1)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (+ (* 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)) 1) x) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 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 (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 (fabs x))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (- (/ 1 (fabs x)) (/ 1 (* (pow x 2) (fabs x))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (- (+ (/ 1 (fabs x)) (/ 1 (* (pow x 3) (pow (fabs x) 2)))) (/ 1 (* (pow x 2) (fabs x))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (- (+ (/ 1 (fabs x)) (/ 1 (* (pow x 3) (pow (fabs x) 2)))) (+ (/ 1 (* (pow x 2) (fabs x))) (/ 1 (* (pow x 5) (pow (fabs x) 2)))))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ 1 (* (pow x 2) (fabs x)))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (fabs x)) (/ 1 (* (pow x 3) (pow (fabs x) 2)))) (pow x 2))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (fabs x)) (+ (/ 1 (* (pow x 3) (pow (fabs x) 2))) (/ 1 (* (pow x 6) (pow (fabs x) 3))))) (pow x 2))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ (+ (/ 1 (fabs x)) (+ (/ 1 (* (pow x 3) (pow (fabs x) 2))) (+ (/ 1 (* (pow x 6) (pow (fabs x) 3))) (/ 1 (* (pow x 9) (pow (fabs x) 4)))))) (pow x 2))))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 (* (pow x 3) (fabs x))))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 (* (pow x 3) (- (fabs x) (/ 1 (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) 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)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) #s(hole binary64 (- (+ (* -1 (/ (- (/ 1 (* (pow x 2) (pow (fabs x) 2))) (/ 1 (pow (fabs x) 2))) (pow x 3))) (/ 1 (fabs x))) (/ 1 (* (pow x 2) (fabs x))))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) (pow (fabs x) 4))) (/ 1 (pow (fabs x) 3))) (pow x 3))) (/ 1 (pow (fabs x) 2))) (pow x 3))) (/ 1 (fabs x))) (pow x 2))))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (fabs x)) (/ 1 (pow x 3)))))))
Outputs
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x))) (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)))) (-.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x)) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x))) (*.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x))))))
(+.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x))
(+.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))))))
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(+.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
x
#s(literal -1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.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)) (neg.f64 (*.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 (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 (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) (neg.f64 (*.f64 x x))))))
(/.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)))
(/.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 (+.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) (neg.f64 (*.f64 x x)))))
(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))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 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 (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 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.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 (fabs x) x)
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) x)
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (neg.f64 x))
#s(approx (/ x (+ (* (* (* x x) 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) x) (fabs x)) -1)) (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) #s(literal -1 binary64))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (fabs 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 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)) x) (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) (pow.f64 x #s(literal 5 binary64)))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* x x) 1) (* x x)) 1) x) (*.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 5 binary64))))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* (- (* x x) 1) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (+ (* (- (* x 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))) (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) x) (fabs x)) -1)) (+ (* x x) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (+ (* (* (* x x) 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) x) (fabs x)) -1)) (+ (* x x) -1)) (-.f64 (+.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3 binary64))))
#s(approx (* (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -7 binary64))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (pow.f64 x #s(literal -3 binary64)))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (+.f64 (pow.f64 x #s(literal -7 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -5 binary64))) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (/.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -9 binary64))) (pow.f64 x #s(literal -5 binary64))) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) (*.f64 (-.f64 x (pow.f64 x #s(literal -3 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) 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 (pow.f64 x #s(literal -3 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 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)) 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 (* (+ (* (- (* x x) 1) (* 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 (+ (* (* (* x x) x) (fabs x)) -1)) (+ (* x x) -1)) (fma.f64 (-.f64 (pow.f64 x #s(literal -7 binary64)) (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x)))
#s(approx (/ x (+ (* (* (* x x) x) (fabs x)) -1)) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -7 binary64)) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ (* (* (* x x) x) (fabs x)) -1) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x) #s(literal 1 binary64))))

eval23.0ms (0.9%)

Memory
33.6MiB live, 33.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 824 to 905 computations (84.5% saved)

prune13.0ms (0.5%)

Memory
-30.7MiB live, 16.4MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2311232
Fresh000
Picked112
Done055
Total2327239
Accuracy
100.0%
Counts
239 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
29.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
61.8%
(*.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)))
48.6%
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
53.2%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
49.4%
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
49.8%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 256 to 108 computations (57.8% saved)

regimes8.0ms (0.3%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.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)))
(*.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 x (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

4.0ms
x
3.0ms
(/.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
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
Outputs
(*.f64 #s(approx (/ x (- (pow x 4) 1)) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
82.1%4(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
99.3%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB 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
99.2%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
Outputs
#s(approx (/ x (+ (* x x) 1)) x)
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
49.8%1(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
49.8%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch2.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
21873522.33736311
8041137313289495.0
Samples
1.0ms16×0valid
Compiler

Compiled 27 to 23 computations (14.8% saved)

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

bsearch43.0ms (1.6%)

Memory
-40.7MiB live, 16.4MiB allocated; 41ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
0.0017281188450773747
0.9485677780751501
Samples
37.0ms128×0valid
Compiler

Compiled 218 to 177 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (63.5% of total)
ival-div!: 1.0ms (63.5% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch9.0ms (0.3%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
0.9485677780751501
5260.508024746907
Samples
4.0ms128×0valid
Compiler

Compiled 170 to 137 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (65% of total)
ival-div!: 1.0ms (65% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations113.0ms (4.2%)

Memory
-7.8MiB live, 87.9MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 84 to 28 computations (66.7% saved)

preprocess81.0ms (3%)

Memory
47.4MiB live, 140.6MiB allocated; 14ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 364 to 176 computations (51.6% saved)

end0.0ms (0%)

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

Profiling

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