Prelude:atanh from fay-base-0.20.0.1

Time bar (total: 4.7s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (24.4%)

Memory
-66.3MiB live, 1 199.5MiB allocated; 1.1s collecting garbage
Samples
456.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 260.0ms
ival-div: 97.0ms (37.4% of total)
ival-add: 85.0ms (32.7% of total)
ival-sub: 61.0ms (23.5% of total)
ival-true: 6.0ms (2.3% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

explain61.0ms (1.3%)

Memory
-20.9MiB live, 124.9MiB allocated; 28ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 3.0ms (29.2% of total)
ival-div: 3.0ms (29.2% of total)
ival-add: 3.0ms (29.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (0.3%)

Memory
27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
11719
23217
34217
44517
54817
65417
76017
86017
057
087
1147
2157
0157
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify0.0ms (0%)

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

series2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Counts
5 → 16
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
Outputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
x
(+ 1 (* -1 x))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

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

simplify163.0ms (3.4%)

Memory
-0.0MiB live, 270.3MiB allocated; 59ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040105
1134100
241096
3167596
4685296
0829890
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
x
(+ 1 (* -1 x))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (/ 1 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
x
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))

rewrite241.0ms (5.1%)

Memory
-8.4MiB live, 386.7MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
13915
225215
3258415
0916515
Stop Event
iter limit
node limit
iter limit
Counts
5 → 834
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
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(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
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(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 x x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval138.0ms (2.9%)

Memory
6.5MiB live, 193.7MiB allocated; 28ms collecting garbage
Compiler

Compiled 14 692 to 1 619 computations (89% saved)

prune16.0ms (0.3%)

Memory
-0.6MiB live, 54.6MiB allocated; 9ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New6236629
Fresh000
Picked011
Done000
Total6237630
Accuracy
100.0%
Counts
630 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
47.7%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
48.8%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
53.4%
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
47.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
52.0%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 167 to 113 computations (32.3% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series5.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
19 → 45
Calls
Call 1
Inputs
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
Outputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(- (* -1 x) 1)
(- (* x (- x 1)) 1)
(- (* x (- (* x (+ 1 x)) 1)) 1)
x
(- (pow x 2) 1)
(- x 1)
(- (* x (+ 1 x)) 1)
(- (* x (+ 1 (* x (+ 1 (* -1 x))))) 1)
(+ 1 (* -1 (pow x 2)))
(pow x 2)
2
(+ 2 (* 2 x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 3)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* x (- 1 (/ 1 x)))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 (* (pow x 3) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

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

simplify153.0ms (3.2%)

Memory
-5.8MiB live, 266.3MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111395
1359372
21282364
34900362
08141341
Stop Event
iter limit
node limit
Counts
45 → 44
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(- (* -1 x) 1)
(- (* x (- x 1)) 1)
(- (* x (- (* x (+ 1 x)) 1)) 1)
x
(- (pow x 2) 1)
(- x 1)
(- (* x (+ 1 x)) 1)
(- (* x (+ 1 (* x (+ 1 (* -1 x))))) 1)
(+ 1 (* -1 (pow x 2)))
(pow x 2)
2
(+ 2 (* 2 x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 3)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* x (- 1 (/ 1 x)))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 (* (pow x 3) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)))))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(- (* x (- x 1)) 1)
(-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (+ 1 x)) 1)) 1)
(-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64))
x
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 x)) 1)
(fma.f64 x x (-.f64 x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (+ 1 (* -1 x))))) 1)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x (-.f64 x #s(literal 1 binary64)))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 x x x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x) #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* (pow x 3) (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(-.f64 (/.f64 (*.f64 x (fma.f64 x x x)) x) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))

rewrite484.0ms (10.2%)

Memory
-10.2MiB live, 423.7MiB allocated; 128ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022128
036118
1182107
21691107
08426107
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 839
Calls
Call 1
Inputs
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.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)) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.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 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
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#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (pow.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 1 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 #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 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.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 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))))
(-.f64 (/.f64 (pow.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 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #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)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #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 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) x (+.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal 4 binary64))))))
(+.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 x #s(literal 2 binary64)))

eval453.0ms (9.5%)

Memory
11.0MiB live, 571.3MiB allocated; 85ms collecting garbage
Compiler

Compiled 75 508 to 6 614 computations (91.2% saved)

prune79.0ms (1.7%)

Memory
22.8MiB live, 129.1MiB allocated; 13ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2 05932 062
Fresh101
Picked145
Done011
Total2 06182 069
Accuracy
100.0%
Counts
2 069 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
66.4%
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
53.4%
#s(approx (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
47.7%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
48.8%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
48.8%
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
47.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
52.0%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 132 to 82 computations (37.9% saved)

simplify0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series38.0ms (0.8%)

Memory
-32.6MiB live, 15.0MiB allocated; 2ms collecting garbage
Counts
19 → 48
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x)
(fma.f64 x x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
x
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ 2 x)
-1
(- (* -1 x) 1)
(- (* x (- x 1)) 1)
(- (* x (- (* x (+ 1 x)) 1)) 1)
(* -1 x)
(* x (- x 1))
(* x (- (* x (+ 1 x)) 1))
(- x 1)
(- (* x (+ 1 x)) 1)
(- (* x (+ 1 (* x (+ 1 (* -1 x))))) 1)
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(* x (- 1 (/ 1 x)))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 3)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 (* (pow x 3) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 x) 1) x))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)))))
Calls

3 calls:

TimeVariablePointExpression
34.0ms
x
@0
((/ (+ x 1) (- 1 x)) (+ (+ 1 x) x) (+ 1 x) 1 x (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (- -1 (/ 2 x)) -1 (/ 2 x) 2 (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (- (* (+ (* x x) (- x 1)) x) 1) (* (+ (* x x) (- x 1)) x) (+ (* x x) (- x 1)) (- x 1) (* (- 1 (* x x)) (- x 1)) (- 1 (* x x)) (* x x))
1.0ms
x
@-inf
((/ (+ x 1) (- 1 x)) (+ (+ 1 x) x) (+ 1 x) 1 x (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (- -1 (/ 2 x)) -1 (/ 2 x) 2 (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (- (* (+ (* x x) (- x 1)) x) 1) (* (+ (* x x) (- x 1)) x) (+ (* x x) (- x 1)) (- x 1) (* (- 1 (* x x)) (- x 1)) (- 1 (* x x)) (* x x))
1.0ms
x
@inf
((/ (+ x 1) (- 1 x)) (+ (+ 1 x) x) (+ 1 x) 1 x (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (- -1 (/ 2 x)) -1 (/ 2 x) 2 (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (- (* (+ (* x x) (- x 1)) x) 1) (* (+ (* x x) (- x 1)) x) (+ (* x x) (- x 1)) (- x 1) (* (- 1 (* x x)) (- x 1)) (- 1 (* x x)) (* x x))

simplify224.0ms (4.7%)

Memory
27.1MiB live, 122.6MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111391
1351366
21240342
34867336
08178315
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
x
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ 2 x)
-1
(- (* -1 x) 1)
(- (* x (- x 1)) 1)
(- (* x (- (* x (+ 1 x)) 1)) 1)
(* -1 x)
(* x (- x 1))
(* x (- (* x (+ 1 x)) 1))
(- x 1)
(- (* x (+ 1 x)) 1)
(- (* x (+ 1 (* x (+ 1 (* -1 x))))) 1)
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(* x (- 1 (/ 1 x)))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 3)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 (* (pow x 3) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 x) 1) x))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
x
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1 x) 2) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(- (* x (- x 1)) 1)
(-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (+ 1 x)) 1)) 1)
(-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- (* x (+ 1 x)) 1))
(*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 x)) 1)
(fma.f64 x x (-.f64 x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (+ 1 (* -1 x))))) 1)
(fma.f64 (fma.f64 (neg.f64 x) x x) x (-.f64 x #s(literal 1 binary64)))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x)
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(fma.f64 x x (-.f64 x #s(literal 1 binary64)))
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* (pow x 3) (- (/ 1 x) 1))
(*.f64 (fma.f64 (neg.f64 x) x x) x)
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x) x)
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 x) 1) x))))
(fma.f64 x x (-.f64 x #s(literal 1 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)))))
(-.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))

rewrite280.0ms (5.9%)

Memory
-34.6MiB live, 204.6MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031170
043152
1210140
22104140
08528136
Stop Event
iter limit
node limit
iter limit
Counts
19 → 374
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x)
(fma.f64 x x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (+.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) x) x)))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
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eval100.0ms (2.1%)

Memory
42.1MiB live, 133.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 22 616 to 2 402 computations (89.4% saved)

prune89.0ms (1.9%)

Memory
-43.5MiB live, 72.9MiB allocated; 16ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New5941595
Fresh000
Picked123
Done055
Total5958603
Accuracy
100.0%
Counts
603 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
66.4%
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
53.4%
#s(approx (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
47.7%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
48.8%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
48.8%
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
47.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
52.0%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 131 to 83 computations (36.6% saved)

simplify0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series3.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
12 → 39
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))
(fma.f64 x x x)
x
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(-.f64 x #s(literal 1 binary64))
Outputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(- (* -1 x) 1)
(- (* x (- x 1)) 1)
(- (* x (- (* x (+ 1 x)) 1)) 1)
x
(* x (+ 1 x))
(- x 1)
(- (* x (+ 1 x)) 1)
(- (* x (+ 1 (* x (+ 1 (* -1 x))))) 1)
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 3)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* x (- 1 (/ 1 x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 (* (pow x 3) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

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

simplify219.0ms (4.6%)

Memory
26.3MiB live, 290.8MiB allocated; 47ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103353
1334331
21212304
36181294
09053276
Stop Event
iter limit
node limit
Counts
39 → 38
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(- (* -1 x) 1)
(- (* x (- x 1)) 1)
(- (* x (- (* x (+ 1 x)) 1)) 1)
x
(* x (+ 1 x))
(- x 1)
(- (* x (+ 1 x)) 1)
(- (* x (+ 1 (* x (+ 1 (* -1 x))))) 1)
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 3)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* x (- 1 (/ 1 x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 (* (pow x 3) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)))))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- x 1)) 1)
(-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (+ 1 x)) 1)) 1)
(-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 x)) 1)
(fma.f64 x x (-.f64 x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (+ 1 (* -1 x))))) 1)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x (-.f64 x #s(literal 1 binary64)))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1 binary64) x))) x)
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* (pow x 3) (- (/ 1 x) 1))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x) x)
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)))))
(-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)

rewrite224.0ms (4.7%)

Memory
-5.3MiB live, 289.8MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01799
02687
114287
2134387
0865785
Stop Event
iter limit
node limit
iter limit
Counts
12 → 413
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))
(fma.f64 x x x)
x
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(-.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (-.f64 x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x)))) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 x x x) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 x x x) x) (-.f64 #s(literal -1 binary64) x)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 x x x) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 x x x) x) (-.f64 #s(literal -1 binary64) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 x x x) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 x x x) x) (-.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (fma.f64 x x x)) x) (*.f64 (neg.f64 (fma.f64 x x x)) x))) (+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (fma.f64 x x x)) x)))
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(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))

eval117.0ms (2.5%)

Memory
-9.9MiB live, 223.2MiB allocated; 49ms collecting garbage
Compiler

Compiled 28 172 to 2 549 computations (91% saved)

prune13.0ms (0.3%)

Memory
15.3MiB live, 62.6MiB allocated; 2ms collecting garbage
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New5740574
Fresh000
Picked011
Done077
Total5748582
Accuracy
100.0%
Counts
582 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
66.4%
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
53.4%
#s(approx (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
47.7%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
48.8%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
48.8%
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
47.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
52.0%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 333 to 136 computations (59.2% saved)

regimes7.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (fma.f64 (fma.f64 x x x) x (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (-.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

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

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory
-44.3MiB live, 12.5MiB allocated; 3ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* x (+ (* x x) -1)) (* 1 (+ (* x x) -1))) (* (- 1 (* x x)) (- x 1))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
Calls

2 calls:

4.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.1%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
99.1%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.4%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.2%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
97.7%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

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

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
52.0%1x
52.0%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999861083707523
0.9999943712363066
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999861083707523
0.9999943712363066
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999861083707523
0.9999943712363066
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch14.0ms (0.3%)

Memory
-21.2MiB live, 25.3MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-0.9999861083707523
0.9999943712363066
Samples
4.0ms240×0valid
Compiler

Compiled 280 to 249 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.2%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029148
140148
250148
355148
456148
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

derivations388.0ms (8.2%)

Memory
15.7MiB live, 398.2MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040105
1134100
241096
3167596
4685296
0829890
022128
036118
1182107
21691107
08426107
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 148 to 30 computations (79.7% saved)

preprocess34.0ms (0.7%)

Memory
-12.5MiB live, 79.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 310 to 70 computations (77.4% saved)

end0.0ms (0%)

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

Profiling

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