x / (x^2 + 1)

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample516.0ms (27.6%)

Memory
12.9MiB live, 958.2MiB allocated; 107ms collecting garbage
Samples
319.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult!: 73.0ms (52% of total)
ival-div!: 43.0ms (30.7% of total)
ival-add!: 22.0ms (15.7% of total)
adjust: 2.0ms (1.4% of total)
Bogosity

explain58.0ms (3.1%)

Memory
31.4MiB live, 126.1MiB allocated; 3ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
710-0-(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))n/o710
(*.f64 x x)overflow71
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow71
Confusion
Predicted +Predicted -
+710
-0185
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7100
-00185
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0185
171
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
18.0ms512×0valid
Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 3.0ms (42.8% of total)
ival-div!: 2.0ms (28.5% of total)
ival-add!: 1.0ms (14.3% of total)
adjust: 0.0ms (0% of total)

preprocess81.0ms (4.4%)

Memory
-37.1MiB live, 61.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

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

(negabs x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series3.0ms (0.2%)

Memory
7.1MiB live, 7.1MiB 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)

rewrite165.0ms (8.8%)

Memory
22.4MiB live, 168.2MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068302
071267
1360257
03688234
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 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #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 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #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) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #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 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.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 (*.f64 (*.f64 (*.f64 x x) x) x) (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 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #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 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x))
#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 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) x #s(literal -1 binary64)) x) 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)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 x)))

eval16.0ms (0.9%)

Memory
-21.8MiB live, 28.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 594 to 340 computations (78.7% saved)

prune5.0ms (0.3%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1086114
Fresh000
Picked101
Done000
Total1096115
Accuracy
100.0%
Counts
115 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
50.7%
(/.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
24.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
49.7%
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
50.8%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
51.7%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 134 to 88 computations (34.3% saved)

series4.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
14 → 28
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) 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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
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 (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 1))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
Calls

3 calls:

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

rewrite128.0ms (6.9%)

Memory
1.4MiB live, 145.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096520
0106452
1440428
04131424
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
42 → 239
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) 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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#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 (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 1))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
Outputs
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #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 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 x) x))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #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) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #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 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (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 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #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 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (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))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (fabs.f64 x) x))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3/2 binary64))) (/.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 x x))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (/.f64 x x) (/.f64 x (*.f64 x x)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 (*.f64 x x) x)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 x (*.f64 (*.f64 x x) x)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (*.f64 x x) x) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ (* x x) 1) (*.f64 x x))))
(neg.f64 (/.f64 x (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 (neg.f64 x) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x))
#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 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) x #s(literal -1 binary64)) x) 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 (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (- 1 (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- 1 (/ 1 (* x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (- 1 (/ 1 (* x x))) #s(literal 1 binary64))
#s(approx (- 1 (/ 1 (* x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 x)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)))

eval30.0ms (1.6%)

Memory
-23.6MiB live, 69.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 5 182 to 913 computations (82.4% saved)

prune7.0ms (0.4%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2851286
Fresh011
Picked055
Done000
Total2857292
Accuracy
100.0%
Counts
292 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
50.7%
(/.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
24.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
58.3%
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
49.7%
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
50.8%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
51.7%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 94 to 54 computations (42.6% saved)

series11.0ms (0.6%)

Memory
-22.4MiB live, 24.9MiB allocated; 2ms collecting garbage
Counts
15 → 60
Calls
Call 1
Inputs
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal -1 binary64)
Outputs
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 6))))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 6) (- (pow x 6) 1))))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1 (* -1 (pow x 6)))) 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 6))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 1))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 x))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (* (- (/ 1 (* x x)) -1) (* x x)) #s(hole binary64 1))
#s(approx (* (- (/ 1 (* x x)) -1) (* x x)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 6))) (pow x 5))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 12))) (/ 1 (pow x 6))) (pow x 5))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 12))) (+ (/ 1 (pow x 6)) (/ 1 (pow x 18)))) (pow x 5))))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1 (/ 1 (pow x 6))))))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (- (/ 1 (* x x)) -1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (- (/ 1 (* x x)) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 1))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #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) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 6)) 1) (pow x 5)))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 6)) (+ 1 (/ 1 (pow x 12)))) (pow x 5)))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 6)) (/ 1 (pow x 18))) (+ 1 (/ 1 (pow x 12)))) (pow x 5)))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) x (+ (* (* (* (* x x) x) x) (* x x)) 1) (* (* (* x x) x) x) (* (* x x) x) (* x x) 1 (+ (* (* (* x x) x) x) (- 1 (* x x))) (- 1 (* x x)) (/ x (* (- (/ 1 (* x x)) -1) (* x x))) (* (- (/ 1 (* x x)) -1) (* x x)) (- (/ 1 (* x x)) -1) (/ 1 (* x x)) -1)
3.0ms
x
@-inf
((* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) x (+ (* (* (* (* x x) x) x) (* x x)) 1) (* (* (* x x) x) x) (* (* x x) x) (* x x) 1 (+ (* (* (* x x) x) x) (- 1 (* x x))) (- 1 (* x x)) (/ x (* (- (/ 1 (* x x)) -1) (* x x))) (* (- (/ 1 (* x x)) -1) (* x x)) (- (/ 1 (* x x)) -1) (/ 1 (* x x)) -1)
2.0ms
x
@0
((* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) x (+ (* (* (* (* x x) x) x) (* x x)) 1) (* (* (* x x) x) x) (* (* x x) x) (* x x) 1 (+ (* (* (* x x) x) x) (- 1 (* x x))) (- 1 (* x x)) (/ x (* (- (/ 1 (* x x)) -1) (* x x))) (* (- (/ 1 (* x x)) -1) (* x x)) (- (/ 1 (* x x)) -1) (/ 1 (* x x)) -1)

rewrite156.0ms (8.4%)

Memory
35.6MiB live, 273.9MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01771605
02031169
18651031
084811006
Stop Event
iter-limit
node-limit
iter-limit
Counts
75 → 528
Calls
Call 1
Inputs
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal -1 binary64)
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 x))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 6))))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 6) (- (pow x 6) 1))))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1 (* -1 (pow x 6)))) 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 6))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 1))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 x))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (* (- (/ 1 (* x x)) -1) (* x x)) #s(hole binary64 1))
#s(approx (* (- (/ 1 (* x x)) -1) (* x x)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 6))) (pow x 5))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 12))) (/ 1 (pow x 6))) (pow x 5))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 12))) (+ (/ 1 (pow x 6)) (/ 1 (pow x 18)))) (pow x 5))))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1 (/ 1 (pow x 6))))))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) x) (- 1 (* x x))) #s(hole binary64 (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (- (/ 1 (* x x)) -1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (- (/ 1 (* x x)) -1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 1))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) #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) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 6)) 1) (pow x 5)))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 6)) (+ 1 (/ 1 (pow x 12)))) (pow x 5)))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 6)) (/ 1 (pow x 18))) (+ 1 (/ 1 (pow x 12)))) (pow x 5)))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
Outputs
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (expm1.f64 (*.f64 (log.f64 x) #s(literal 12 binary64)))) (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)))
(*.f64 x (/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (*.f64 x x))) (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))) (+.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64))) (fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)) x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (*.f64 x x)))) (+.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (*.f64 x x)))
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#s(approx (* (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (* (* x x) x) x) (- 1 (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 x)))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (/.f64 (-.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64))) (pow.f64 x #s(literal -12 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))))
#s(approx (/ x (+ (* (* (* (* x x) x) x) (* x x)) 1)) (/.f64 (+.f64 (pow.f64 x #s(literal -18 binary64)) (-.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64))) (pow.f64 x #s(literal -12 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x))))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 x)))
#s(approx (/ x (* (- (/ 1 (* x x)) -1) (* x x))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 x)))

eval89.0ms (4.7%)

Memory
-2.6MiB live, 193.4MiB allocated; 23ms collecting garbage
Compiler

Compiled 21 192 to 2 497 computations (88.2% saved)

prune14.0ms (0.8%)

Memory
-6.1MiB live, 41.0MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New7691770
Fresh000
Picked112
Done055
Total7707777
Accuracy
100.0%
Counts
777 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.2%
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))
74.1%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
50.7%
(/.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
24.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
49.7%
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
50.8%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
51.7%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 91 to 54 computations (40.7% saved)

series7.0ms (0.4%)

Memory
-32.1MiB live, 15.4MiB allocated; 2ms collecting garbage
Counts
10 → 31
Calls
Call 1
Inputs
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) x) x)
#s(literal 1 binary64)
Outputs
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 x))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 6))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (pow x 5)))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #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 x)) 1) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1 (/ 1 (pow x 6))))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* x x) -1) x -1 (* (* x x) x) (* x x) (+ (* (* (* (* x x) x) x) (* x x)) 1) (* (* (* x x) x) x) 1)
2.0ms
x
@inf
((/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* x x) -1) x -1 (* (* x x) x) (* x x) (+ (* (* (* (* x x) x) x) (* x x)) 1) (* (* (* x x) x) x) 1)
1.0ms
x
@0
((/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* x x) -1) x -1 (* (* x x) x) (* x x) (+ (* (* (* (* x x) x) x) (* x x)) 1) (* (* (* x x) x) x) 1)

rewrite233.0ms (12.5%)

Memory
-1.2MiB live, 189.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103811
0119586
1499566
04586564
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
41 → 281
Calls
Call 1
Inputs
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) x) x)
#s(literal 1 binary64)
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 x))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 6))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (pow x 5)))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #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 x)) 1) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* (* x x) x) x) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1 (/ 1 (pow x 6))))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x) (expm1.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (neg.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) x) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) x #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (expm1.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))))
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(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
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(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
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(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal 1 binary64))
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(fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
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(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))
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(*.f64 x (*.f64 (*.f64 x x) x))
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(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
#s(literal 1 binary64)
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#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) x)
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#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)
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
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#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 x)))
#s(approx (/ (+ (* (+ (* x x) -1) (* (* x x) x)) x) (+ (* (* (* (* x x) x) x) (* x x)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 x)))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* x x) -1) (* (* x x) x)) x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))

eval46.0ms (2.5%)

Memory
8.1MiB live, 103.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 12 029 to 1 224 computations (89.8% saved)

prune9.0ms (0.5%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3960396
Fresh000
Picked011
Done066
Total3967403
Accuracy
100.0%
Counts
403 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.2%
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))
74.1%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
50.7%
(/.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
24.8%
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
49.7%
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
50.8%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
51.7%
#s(approx (/ x (+ (* x x) 1)) x)
Compiler

Compiled 216 to 88 computations (59.3% saved)

regimes7.0ms (0.4%)

Memory
-29.0MiB live, 18.0MiB allocated; 3ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Outputs
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#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)

regimes3.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
8 → 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 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))
Outputs
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.2%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
7 → 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 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
3 → 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 x #s(approx (+ (* x x) 1) (*.f64 x x)))
Outputs
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.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)))
98.7%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

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

Compiled 8 to 6 computations (25% saved)

bsearch5.0ms (0.3%)

Memory
-39.3MiB live, 8.1MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
118610.27833818726
32239622416028.543
Samples
2.0ms48×0valid
Compiler

Compiled 124 to 69 computations (44.4% saved)

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

bsearch4.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
118610.27833818726
32239622416028.543
Samples
1.0ms48×0valid
Compiler

Compiled 220 to 129 computations (41.4% saved)

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

bsearch0.0ms (0%)

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

Compiled 27 to 23 computations (14.8% saved)

bsearch8.0ms (0.4%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.008880435725327665
1.2710924077637151
Samples
3.0ms112×0valid
Compiler

Compiled 150 to 121 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult!: 1.0ms (70.3% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations116.0ms (6.2%)

Memory
-11.1MiB live, 135.2MiB allocated; 6ms collecting garbage
Stop Event
done
Compiler

Compiled 135 to 34 computations (74.8% saved)

preprocess135.0ms (7.3%)

Memory
18.6MiB live, 212.1MiB allocated; 18ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 568 to 224 computations (60.6% saved)

end0.0ms (0%)

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

Profiling

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