arccos

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze10.0ms (0.4%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
33.3%25%50%0%0%25%0%4
60%37.5%25%0%0%37.5%0%5
77.8%43.7%12.5%0%0%43.7%0%6
88.2%46.9%6.2%0%0%46.9%0%7
93.9%48.4%3.1%0%0%48.4%0%8
96.9%49.2%1.6%0%0%49.2%0%9
98.4%49.6%0.8%0%0%49.6%0%10
99.2%49.8%0.4%0%0%49.8%0%11
99.6%49.9%0.2%0%0%49.9%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (45.9%)

Memory
-11.2MiB live, 1 454.8MiB allocated; 244ms collecting garbage
Samples
753.0ms8 256×0valid
1.0ms18×0invalid
Precisions
Click to see histograms. Total time spent on operations: 411.0ms
ival-atan: 96.0ms (23.4% of total)
ival-sub: 76.0ms (18.5% of total)
ival-sqrt: 61.0ms (14.8% of total)
ival-add: 55.0ms (13.4% of total)
ival-div: 54.0ms (13.1% of total)
ival-mult: 53.0ms (12.9% of total)
exact: 10.0ms (2.4% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain168.0ms (7.1%)

Memory
-43.3MiB live, 197.8MiB allocated; 68ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
00-0-(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
00-0-#s(literal 2 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
40.0ms512×0valid
Compiler

Compiled 103 to 31 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 8.0ms (30.3% of total)
ival-atan: 5.0ms (18.9% of total)
ival-sqrt: 4.0ms (15.1% of total)
ival-div: 3.0ms (11.4% of total)
ival-add: 3.0ms (11.4% of total)
ival-sub: 3.0ms (11.4% of total)
exact: 1.0ms (3.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess239.0ms (10.1%)

Memory
11.2MiB live, 207.2MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
13737
25737
313233
446633
5286233
0911
01511
12411
23211
36911
424011
5139511
6609111
0862811
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

series5.0ms (0.2%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
9 → 34
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -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 x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))
2.0ms
x
@-inf
((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))
1.0ms
x
@0
((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))

rewrite99.0ms (4.2%)

Memory
1.9MiB live, 97.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154685
0161587
0953578
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
43 → 54
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -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 x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.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) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(literal 1 binary64))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(literal -1 binary64))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))

eval12.0ms (0.5%)

Memory
-28.3MiB live, 14.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 996 to 281 computations (71.8% saved)

prune20.0ms (0.9%)

Memory
30.0MiB live, 30.0MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358
Accuracy
100.0%
Counts
58 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
▶99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
Compiler

Compiled 60 to 41 computations (31.7% saved)

series5.0ms (0.2%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
12 → 52
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 -2))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (- (* x (+ 2 (* -2 x))) 2)))
#s(approx (* (+ (* -2 x) 2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (* -2 x) 2) x) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (+ (* -2 x) 2) #s(hole binary64 2))
#s(approx (+ (* -2 x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* -2 (pow x 3))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) 2))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 1 (pow x 3))) (+ 2 (/ 2 (pow x 2)))))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) 2))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))))))
#s(approx (* (+ (* -2 x) 2) x) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* (+ (* -2 x) 2) x) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) 2))))
#s(approx (+ (* -2 x) 2) #s(hole binary64 (* -2 x)))
#s(approx (+ (* -2 x) 2) #s(hole binary64 (* x (- (* 2 (/ 1 x)) 2))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (/ 1 x)) x))) x)))))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))))
#s(approx (+ (* -2 x) 2) #s(hole binary64 (* -1 (* x (- 2 (* 2 (/ 1 x)))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (- (* (+ (* -2 x) 2) x) 2) (* (+ (* -2 x) 2) x) (+ (* -2 x) 2) -2 x 1)
1.0ms
x
@-inf
((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (- (* (+ (* -2 x) 2) x) 2) (* (+ (* -2 x) 2) x) (+ (* -2 x) 2) -2 x 1)
1.0ms
x
@inf
((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (- (* (+ (* -2 x) 2) x) 2) (* (+ (* -2 x) 2) x) (+ (* -2 x) 2) -2 x 1)

rewrite76.0ms (3.2%)

Memory
2.9MiB live, 95.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041191
02151057
011831048
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
64 → 92
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 -2))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (- (* x (+ 2 (* -2 x))) 2)))
#s(approx (* (+ (* -2 x) 2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (* -2 x) 2) x) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (+ (* -2 x) 2) #s(hole binary64 2))
#s(approx (+ (* -2 x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* -2 (pow x 3))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) 2))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 1 (pow x 3))) (+ 2 (/ 2 (pow x 2)))))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) 2))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))))))
#s(approx (* (+ (* -2 x) 2) x) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* (+ (* -2 x) 2) x) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) 2))))
#s(approx (+ (* -2 x) 2) #s(hole binary64 (* -2 x)))
#s(approx (+ (* -2 x) 2) #s(hole binary64 (* x (- (* 2 (/ 1 x)) 2))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (/ 1 x)) x))) x)))))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))))
#s(approx (+ (* -2 x) 2) #s(hole binary64 (* -1 (* x (- 2 (* 2 (/ 1 x)))))))
Outputs
(*.f64 (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))))
(pow.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal -2 binary64) x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x (*.f64 #s(literal -2 binary64) x)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(literal 1 binary64))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (* (+ (* -2 x) 2) x) 2) #s(literal -2 binary64))
#s(approx (- (* (+ (* -2 x) 2) x) 2) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- (* (+ (* -2 x) 2) x) 2) (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)))
#s(approx (* (+ (* -2 x) 2) x) (*.f64 x #s(literal 2 binary64)))
#s(approx (* (+ (* -2 x) 2) x) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x))
#s(approx (+ (* -2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* -2 x) 2) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(literal -1 binary64))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
#s(approx (- (* (+ (* -2 x) 2) x) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (* (+ (* -2 x) 2) x) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* -2 x) 2) x) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
#s(approx (* (+ (* -2 x) 2) x) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (+ (* -2 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* -2 x) 2) x) 2) x) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (+ (* -2 x) 2) x) 2) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* -2 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))

eval27.0ms (1.2%)

Memory
-38.7MiB live, 20.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 776 to 598 computations (78.5% saved)

prune123.0ms (5.2%)

Memory
-7.1MiB live, 82.6MiB allocated; 7ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done000
Total973100
Accuracy
100.0%
Counts
100 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
▶100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
✓99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
Compiler

Compiled 60 to 41 computations (31.7% saved)

series4.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
10 → 50
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))))
#s(approx (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) #s(hole binary64 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 1))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 1))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (+ (* -1 (/ x (- 1 (* -1 x)))) (/ 1 (- 1 (* -1 x)))))))))
#s(approx (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) #s(hole binary64 (atan (sqrt (+ (* -1 (/ x (- 1 (* -1 x)))) (/ 1 (- 1 (* -1 x))))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (- (/ 1 (+ x 1)) (/ x (+ x 1))) (/ 1 (+ x 1)) 1 (+ x 1) x (/ x (+ x 1)))
1.0ms
x
@inf
((* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (- (/ 1 (+ x 1)) (/ x (+ x 1))) (/ 1 (+ x 1)) 1 (+ x 1) x (/ x (+ x 1)))
1.0ms
x
@0
((* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (- (/ 1 (+ x 1)) (/ x (+ x 1))) (/ 1 (+ x 1)) 1 (+ x 1) x (/ x (+ x 1)))

rewrite68.0ms (2.9%)

Memory
3.8MiB live, 50.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02091112
0221870
01277855
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
60 → 75
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))))
#s(approx (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) #s(hole binary64 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 1))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 1))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (+ (* -1 (/ x (- 1 (* -1 x)))) (/ 1 (- 1 (* -1 x)))))))))
#s(approx (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) #s(hole binary64 (atan (sqrt (+ (* -1 (/ x (- 1 (* -1 x)))) (/ 1 (- 1 (* -1 x))))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
Outputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 (neg.f64 x) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(literal 1 binary64))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(approx (/ 1 (+ x 1)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (/ 1 (+ x 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (+ x 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ x (+ x 1)) x)
#s(approx (/ x (+ x 1)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ x (+ x 1)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ x (+ x 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ 1 (+ x 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3 binary64))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ x 1)) #s(literal 1 binary64))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ x (+ x 1)) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ x (+ x 1)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3 binary64))))
#s(approx (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) (*.f64 (atan.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) (atan.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ 1 (+ x 1)) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (+ x 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (+ x 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ x (+ x 1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)))

eval9.0ms (0.4%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 005 to 479 computations (76.1% saved)

prune91.0ms (3.9%)

Memory
-24.6MiB live, 31.8MiB allocated; 9ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done011
Total91394
Accuracy
100.0%
Counts
94 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
✓99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
Compiler

Compiled 60 to 41 computations (31.7% saved)

series8.0ms (0.3%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
15 → 51
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))
(fma.f64 x x (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 3)) (* (+ 1 x) (+ 1 (+ x (pow x 2))))))))))
#s(approx (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 3)) (* (+ 1 x) (+ 1 (+ x (pow x 2)))))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 1))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 1))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (+ 1 (* -1 (pow x 3)))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (+ 1 (* x (+ 1 x)))))
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 x))
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 3)) 1))))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 (pow x 3))) (* (- 1 (* -1 x)) (- (+ 1 (pow x 2)) (* -1 x)))))))))
#s(approx (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 (pow x 3))) (* (- 1 (* -1 x)) (- (+ 1 (pow x 2)) (* -1 x))))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((* 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (- 1 (pow x 3)) 1 (pow x 3) x 3 (+ 1 (+ (* x x) (* 1 x))) (+ (* x x) (* 1 x)) (* 1 x) (+ 1 x))
2.0ms
x
@-inf
((* 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (- 1 (pow x 3)) 1 (pow x 3) x 3 (+ 1 (+ (* x x) (* 1 x))) (+ (* x x) (* 1 x)) (* 1 x) (+ 1 x))
2.0ms
x
@inf
((* 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (- 1 (pow x 3)) 1 (pow x 3) x 3 (+ 1 (+ (* x x) (* 1 x))) (+ (* x x) (* 1 x)) (* 1 x) (+ 1 x))

rewrite63.0ms (2.7%)

Memory
37.2MiB live, 37.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051346
02231129
012541118
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
66 → 112
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))
(fma.f64 x x (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 3)) (* (+ 1 x) (+ 1 (+ x (pow x 2))))))))))
#s(approx (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 3)) (* (+ 1 x) (+ 1 (+ x (pow x 2)))))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 1))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 1))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (+ 1 (* -1 (pow x 3)))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (+ 1 (* x (+ 1 x)))))
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 x))
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 3)) 1))))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 (pow x 3))) (* (- 1 (* -1 x)) (- (+ 1 (pow x 2)) (* -1 x)))))))))
#s(approx (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 (pow x 3))) (* (- 1 (* -1 x)) (- (+ 1 (pow x 2)) (* -1 x))))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))))
Outputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
x
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (fabs.f64 x) (fabs.f64 x) x)
(fma.f64 x x x)
(-.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (-.f64 #s(literal 1 binary64) x))
#s(approx (- 1 (pow x 3)) #s(literal 1 binary64))
#s(approx (- 1 (pow x 3)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(literal 1 binary64))
#s(approx (+ 1 (+ (* x x) (* 1 x))) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ 1 (+ (* x x) (* 1 x))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* x x) (* 1 x)) x)
#s(approx (+ (* x x) (* 1 x)) (fma.f64 x x x))
#s(approx x x)
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 x #s(literal 1 binary64)))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) #s(literal -1 binary64))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (neg.f64 x))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- 1 (pow x 3)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
#s(approx (- 1 (pow x 3)) (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ 1 (+ (* x x) (* 1 x))) (*.f64 x x))
#s(approx (+ 1 (+ (* x x) (* 1 x))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ 1 (+ (* x x) (* 1 x))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (+ (* x x) (* 1 x)) (*.f64 x x))
#s(approx (+ (* x x) (* 1 x)) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- 1 (pow x 3)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))))

eval22.0ms (0.9%)

Memory
-20.8MiB live, 23.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 340 to 703 computations (79% saved)

prune166.0ms (7%)

Memory
26.1MiB live, 119.5MiB allocated; 5ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done022
Total1213124
Accuracy
100.0%
Counts
124 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
✓99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
Compiler

Compiled 131 to 81 computations (38.2% saved)

regimes10.0ms (0.4%)

Memory
-43.5MiB live, 9.9MiB allocated; 4ms collecting garbage
Accuracy

Total -0.4b remaining (-5469.4%)

Threshold costs -0.4b (-5469.4%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 #s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
Calls

5 calls:

4.0ms
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
2.0ms
x
1.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
100.0%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
100.0%1(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
100.0%1(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
100.0%1x
Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify30.0ms (1.3%)

Memory
32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01520
12120
22920
35020
420020
5212920
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) x)))))

derivations3.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess25.0ms (1.1%)

Memory
-31.1MiB live, 16.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 62 to 46 computations (25.8% saved)

end0.0ms (0%)

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

Profiling

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