Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Time bar (total: 1.3s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB 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
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample504.0ms (39.2%)

Memory
9.3MiB live, 627.9MiB allocated; 85ms collecting garbage
Samples
310.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-div!: 68.0ms (61.6% of total)
ival-sub!: 41.0ms (37.1% of total)
adjust: 1.0ms (0.9% of total)
Bogosity

explain39.0ms (3%)

Memory
-32.2MiB live, 114.0MiB allocated; 8ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 x (-.f64 #s(literal 1 binary64) x))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
17.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div!: 3.0ms (69% of total)
ival-sub!: 2.0ms (46% of total)
adjust: 0.0ms (0% of total)

preprocess89.0ms (6.9%)

Memory
-6.5MiB live, 40.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0820
11618
22118
33816
49015
534015
6306515
7738515
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 8 computations (20% saved)

series2.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
4 → 15
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
#s(approx (/ x (- 1 x)) #s(hole binary64 x))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 -1))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ x (- 1 x)) x (- 1 x) 1)
1.0ms
x
@inf
((/ x (- 1 x)) x (- 1 x) 1)
0.0ms
x
@0
((/ x (- 1 x)) x (- 1 x) 1)

rewrite109.0ms (8.5%)

Memory
19.5MiB live, 116.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052193
053184
1271178
02708172
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
19 → 49
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ x (- 1 x)) #s(hole binary64 x))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 -1))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 x (/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 x (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))))
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(neg.f64 (+.f64 x #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
#s(approx (/ x (- 1 x)) x)
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
#s(approx x x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (- 1 x)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)))
#s(approx (/ x (- 1 x)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 x)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))

eval4.0ms (0.3%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 512 to 133 computations (74% saved)

prune2.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New42446
Fresh000
Picked011
Done000
Total42547
Accuracy
100.0%
Counts
47 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
77.6%
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
51.4%
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
51.8%
#s(approx (/ x (- 1 x)) x)
49.6%
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 40 to 29 computations (27.5% saved)

series4.0ms (0.3%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
12 → 42
Calls
Call 1
Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (- 1 x)) x)
x
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(fma.f64 x x x)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(-.f64 x #s(literal -1 binary64))
Outputs
#s(approx (/ x (- 1 x)) #s(hole binary64 x))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 x))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (pow x 2)))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))))
#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 x) #s(hole binary64 (pow x 2)))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (- 1 x)) #s(hole binary64 -1))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 -1))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ -1 x)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)))
#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) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))))
Calls

3 calls:

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

rewrite195.0ms (15.1%)

Memory
-37.5MiB live, 200.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124722
0132615
1621584
06699574
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
54 → 234
Calls
Call 1
Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (- 1 x)) x)
x
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(fma.f64 x x x)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(-.f64 x #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) #s(hole binary64 x))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 x))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (pow x 2)))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))))
#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 x) #s(hole binary64 (pow x 2)))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (- 1 x)) #s(hole binary64 -1))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 -1))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ -1 x)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)))
#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) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))))
Outputs
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) x)
x
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 x x x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
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(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 (*.f64 (*.f64 x x) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) x)
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 x x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 x x x) x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
#s(approx x x)
#s(approx (+ (* x x) x) x)
#s(approx (+ (* x x) x) (fma.f64 x x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) x)
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 x x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 x x x) x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
#s(approx (/ x (- 1 (* x x))) x)
#s(approx (/ x (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 (* x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 (* x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- 1 (* x x)) #s(literal 1 binary64))
#s(approx (- 1 (* x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(literal -1 binary64))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
#s(approx (+ (* x x) x) (*.f64 x x))
#s(approx (+ (* x x) x) (fma.f64 x x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(literal -1 binary64))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
#s(approx (/ x (- 1 (* x x))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))
#s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))
#s(approx (- 1 (* x x)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 x)))

eval42.0ms (3.2%)

Memory
6.1MiB live, 52.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 880 to 718 computations (81.5% saved)

prune5.0ms (0.4%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2142216
Fresh000
Picked134
Done011
Total2156221
Accuracy
100.0%
Counts
221 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
51.4%
(*.f64 #s(approx (/ x (- 1 (* x x))) x) (-.f64 x #s(literal -1 binary64)))
51.4%
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
51.8%
#s(approx (/ x (- 1 x)) x)
49.6%
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 52 to 36 computations (30.8% saved)

series3.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
10 → 42
Calls
Call 1
Inputs
(*.f64 #s(approx (/ x (- 1 (* x x))) x) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ x (- 1 (* x x))) x)
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x x x)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
Outputs
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 x))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (pow x 2)))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 x))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (+ (* x x) x) #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 (* x (+ 1 x))))
#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 x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 -1))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ -1 x)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#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))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* (/ x (- 1 (* x x))) (- x -1)) (/ x (- 1 (* x x))) x (- x -1) -1 (/ (+ (* x x) x) (- 1 (* x x))) (+ (* x x) x) (- 1 (* x x)) 1 (* x x))
1.0ms
x
@inf
((* (/ x (- 1 (* x x))) (- x -1)) (/ x (- 1 (* x x))) x (- x -1) -1 (/ (+ (* x x) x) (- 1 (* x x))) (+ (* x x) x) (- 1 (* x x)) 1 (* x x))
0.0ms
x
@0
((* (/ x (- 1 (* x x))) (- x -1)) (/ x (- 1 (* x x))) x (- x -1) -1 (/ (+ (* x x) x) (- 1 (* x x))) (+ (* x x) x) (- 1 (* x x)) 1 (* x x))

rewrite175.0ms (13.6%)

Memory
8.0MiB live, 199.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122757
0130713
1621670
06699660
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
52 → 242
Calls
Call 1
Inputs
(*.f64 #s(approx (/ x (- 1 (* x x))) x) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ x (- 1 (* x x))) x)
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x x x)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 x))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (pow x 2)))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 x))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (+ (* x x) x) #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 (* x (+ 1 x))))
#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 x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 -1))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ -1 x)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#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))) (- x -1)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- 1 (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))))
#s(approx (/ (+ (* x x) x) (- 1 (* x x))) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
Outputs
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (/ x (- 1 (* x x))) x))
(*.f64 #s(approx (/ x (- 1 (* x x))) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ x (- 1 (* x x))) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(approx (/ x (- 1 (* x x))) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(approx (/ x (- 1 (* x x))) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (/ x (- 1 (* x x))) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (- 1 (* x x))) x)
x
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.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) x)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) x #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) x #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) (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) x #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) x #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
#s(literal 1 binary64)
(*.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)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.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 (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) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #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(approx (* (/ x (- 1 (* x x))) (- x -1)) x)
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 x x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 x x x) x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
#s(approx (/ x (- 1 (* x x))) x)
#s(approx (/ x (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 (* x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 (* x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) x #s(literal 1 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) x)
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 x x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 x x x) x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
#s(approx (+ (* x x) x) x)
#s(approx (+ (* x x) x) (fma.f64 x x x))
#s(approx (- 1 (* x x)) #s(literal 1 binary64))
#s(approx (- 1 (* x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(literal -1 binary64))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
#s(approx (/ x (- 1 (* x x))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) #s(literal -1 binary64))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
#s(approx (+ (* x x) x) (*.f64 x x))
#s(approx (+ (* x x) x) (fma.f64 x x x))
#s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))
#s(approx (- 1 (* x x)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (/ x (- 1 (* x x))) (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (* (/ x (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))

eval31.0ms (2.4%)

Memory
-33.2MiB live, 65.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 241 to 666 computations (84.3% saved)

prune5.0ms (0.4%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2250225
Fresh000
Picked022
Done044
Total2256231
Accuracy
100.0%
Counts
231 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
51.4%
(*.f64 #s(approx (/ x (- 1 (* x x))) x) (-.f64 x #s(literal -1 binary64)))
51.4%
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
51.8%
#s(approx (/ x (- 1 x)) x)
49.6%
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 115 to 59 computations (48.7% saved)

regimes6.0ms (0.5%)

Memory
-25.9MiB live, 21.3MiB allocated; 2ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) x)
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(*.f64 #s(approx (/ x (- 1 (* x x))) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

3.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1(/.f64 x (-.f64 #s(literal 1 binary64) x))
100.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0.3%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) x)
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(*.f64 #s(approx (/ x (- 1 (* x x))) x) (-.f64 x #s(literal -1 binary64)))
Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.5%2(/.f64 x (-.f64 #s(literal 1 binary64) x))
98.5%3x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes1.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) x)
Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) x)
Calls

1 calls:

1.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
97.8%2(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0.2%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
49.6%1x
49.6%1(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999996300944068
-0.001897777854239155
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999996300944068
-0.001897777854239155
Compiler

Compiled 8 to 8 computations (0% saved)

derivations33.0ms (2.6%)

Memory
-30.5MiB live, 66.4MiB allocated; 4ms collecting garbage
Stop Event
done
Compiler

Compiled 59 to 16 computations (72.9% saved)

preprocess30.0ms (2.3%)

Memory
18.4MiB live, 105.8MiB allocated; 9ms collecting garbage
Compiler

Compiled 128 to 40 computations (68.8% saved)

end0.0ms (0%)

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

Profiling

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