arccos

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze5.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
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)

sample1.2s (56.3%)

Memory
-16.5MiB live, 1 009.3MiB allocated; 178ms collecting garbage
Samples
962.0ms8 256×0valid
1.0ms23×0invalid
Precisions
Click to see histograms. Total time spent on operations: 783.0ms
ival-sub: 401.0ms (51.2% of total)
ival-atan: 108.0ms (13.8% of total)
ival-sqrt: 81.0ms (10.3% of total)
ival-mult: 79.0ms (10.1% of total)
ival-div: 60.0ms (7.7% of total)
ival-add: 40.0ms (5.1% of total)
exact: 9.0ms (1.1% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain153.0ms (6.9%)

Memory
-32.4MiB live, 114.6MiB allocated; 19ms 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
35.0ms512×0valid
Compiler

Compiled 103 to 31 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-atan: 5.0ms (23% of total)
ival-div: 3.0ms (13.8% of total)
ival-add: 3.0ms (13.8% of total)
ival-mult: 3.0ms (13.8% of total)
ival-sub: 3.0ms (13.8% of total)
ival-sqrt: 3.0ms (13.8% of total)
exact: 1.0ms (4.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess248.0ms (11.2%)

Memory
34.7MiB live, 255.8MiB allocated; 40ms 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
iter limit
node limit
iter limit
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
0.1MiB live, 0.1MiB 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
8.3MiB live, 8.3MiB 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))

rewrite91.0ms (4.1%)

Memory
3.1MiB live, 98.9MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154685
0161587
0953578
Stop Event
iter limit
iter limit
node limit
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)))))

eval10.0ms (0.5%)

Memory
-29.5MiB live, 16.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 996 to 281 computations (71.8% saved)

prune20.0ms (0.9%)

Memory
40.7MiB live, 40.7MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New55257
Fresh000
Picked101
Done000
Total56258
Accuracy
100.0%
Counts
58 → 2
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) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))
Compiler

Compiled 41 to 30 computations (26.8% saved)

series5.0ms (0.2%)

Memory
-38.7MiB live, 8.7MiB allocated; 1ms collecting garbage
Counts
13 → 43
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
#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 (- 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 (* (+ (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow x -1) #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 (* (+ (pow x -1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (pow x -1) 1) #s(hole binary64 1))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (+ 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) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -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)) (- 1 x) 1 x (+ 1 x) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1)
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) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1)

rewrite86.0ms (3.9%)

Memory
12.3MiB live, 69.6MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0170830
0180732
01001723
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
56 → 79
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
#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 (- 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 (* (+ (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow x -1) #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 (* (+ (pow x -1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (pow x -1) 1) #s(hole binary64 1))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (+ 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) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (/.f64 x #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
(/.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
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#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 (- 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 (* (+ (pow x -1) 1) x) #s(literal 1 binary64))
#s(approx (* (+ (pow x -1) 1) x) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ (pow x -1) 1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (pow x -1) 1) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (pow x -1) (pow.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 (* (+ (pow x -1) 1) x) x)
#s(approx (* (+ (pow x -1) 1) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (pow x -1) 1) #s(literal 1 binary64))
#s(approx (+ (pow x -1) 1) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#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)))))

eval9.0ms (0.4%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 831 to 459 computations (74.9% saved)

prune56.0ms (2.5%)

Memory
-23.5MiB live, 71.6MiB allocated; 6ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done000
Total83285
Accuracy
100.0%
Counts
85 → 2
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) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))
Compiler

Compiled 41 to 30 computations (26.8% saved)

series7.0ms (0.3%)

Memory
10.6MiB live, 10.6MiB 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
@-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))
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))

rewrite61.0ms (2.8%)

Memory
6.9MiB live, 53.7MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051346
02231129
012541118
Stop Event
iter limit
iter limit
node limit
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 (1%)

Memory
-10.7MiB live, 37.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 340 to 703 computations (79% saved)

prune171.0ms (7.7%)

Memory
-6.9MiB live, 180.7MiB allocated; 9ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done011
Total1212123
Accuracy
100.0%
Counts
123 → 2
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) x) #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))
Compiler

Compiled 93 to 69 computations (25.8% saved)

derivations3.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 22 to 15 computations (31.8% saved)

preprocess14.0ms (0.6%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 66 to 48 computations (27.3% saved)

end0.0ms (0%)

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

Profiling

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