Prelude:atanh from fay-base-0.20.0.1

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×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)

sample502.0ms (8%)

Memory
-24.2MiB live, 789.4MiB allocated
Samples
285.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-div: 53.0ms (34.1% of total)
ival-add: 47.0ms (30.3% of total)
ival-sub: 43.0ms (27.7% of total)
ival-true: 5.0ms (3.2% of total)
exact: 4.0ms (2.6% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain65.0ms (1%)

Memory
10.4MiB live, 87.4MiB allocated
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
20.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 4.0ms (38.4% of total)
ival-sub: 3.0ms (28.8% of total)
ival-div: 3.0ms (28.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess33.0ms (0.5%)

Memory
-0.2MiB live, 43.5MiB allocated
Algorithm
1×egg-herbie
Rules
208×lower-fma.f64
208×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
110×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
12114
24614
310014
422814
547714
665614
768914
057
087
1137
2177
3227
4297
5397
6557
7767
81067
91567
101967
112927
124697
136477
06477
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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))
Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
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 8 to 5 computations (37.5% saved)

simplify17.0ms (0.3%)

Memory
-22.9MiB live, 15.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Rules
208×lower-fma.f64
208×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
106×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11315
21715
32215
42915
53915
65515
77615
810615
915615
1019615
1129215
1246915
1364715
064715
Stop Event
1×iter limit
1×saturated
1×iter limit
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 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)

localize19.0ms (0.3%)

Memory
-0.9MiB live, 35.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.7% of total)
ival-sub: 1.0ms (21.9% of total)
ival-add: 1.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (-.f64 #s(literal 1 binary64) x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
Calls

9 calls:

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

simplify261.0ms (4.2%)

Memory
34.1MiB live, 230.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 702×lower-fma.f64
10 702×lower-fma.f32
2 414×lower-*.f64
2 414×lower-*.f32
1 974×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040165
1114150
2255150
3590146
41225146
52794146
64949146
76697146
87350146
97545146
107569146
117580146
127964146
08165140
Stop Event
1×iter limit
1×node limit
Counts
36 → 34
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
-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 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 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 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite210.0ms (3.4%)

Memory
-29.4MiB live, 332.8MiB allocated
Rules
2 974×lower-/.f64
2 974×lower-/.f32
2 752×lower-fma.f64
2 752×lower-fma.f32
2 188×lower-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0513
0813
14113
229413
341017
0100147
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 489
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))

eval73.0ms (1.2%)

Memory
20.1MiB live, 130.7MiB allocated
Compiler

Compiled 14 518 to 1 047 computations (92.8% saved)

prune81.0ms (1.3%)

Memory
-13.9MiB live, 142.5MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New5176523
Fresh000
Picked011
Done000
Total5177524
Accuracy
100.0%
Counts
524 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.5%
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶47.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
▶48.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
53.7%
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
▶47.4%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
▶52.4%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 100 to 61 computations (39% saved)

simplify469.0ms (7.5%)

Memory
12.4MiB live, 416.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x x)
cost-diff0
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff512
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
Rules
24 080×lower-fma.f32
24 070×lower-fma.f64
3 112×lower-+.f32
3 110×lower-+.f64
2 688×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021122
035119
164119
2101119
3189119
4466119
51303119
63330119
74536119
85709119
96794119
107144119
117272119
127295119
137364119
147542119
157708119
167754119
177772119
187776119
197776119
08445118
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
x
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#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)
x
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
#s(literal 2 binary64)
(fma.f64 x x x)
x
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
x
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal 1 binary64) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x x))
#s(literal 2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1 binary64))
#s(literal 2 binary64)
(fma.f64 x x x)
x
#s(literal 1 binary64)

localize61.0ms (1%)

Memory
-6.4MiB live, 117.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x x)
accuracy0
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
accuracy33.51057345911366
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
accuracy0
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
accuracy32.88647789118752
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
accuracy33.64537447714953
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
accuracy30.443057653892257
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
accuracy0
(*.f64 x x)
accuracy0.01171875
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
accuracy0.03125
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
accuracy21.5466596706361
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
Samples
41.0ms256×0valid
Compiler

Compiled 117 to 22 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 15.0ms (51.1% of total)
ival-mult: 8.0ms (27.3% of total)
ival-div: 4.0ms (13.6% of total)
ival-sub: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))>
#<alt #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))>
#<alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))>
#<alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))>
#<alt (fma.f64 x x x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (pow x 3))>
#<alt (+ 1 (pow x 3))>
#<alt (+ 1 (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
Calls

33 calls:

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

simplify369.0ms (5.9%)

Memory
-6.0MiB live, 510.0MiB allocated
Algorithm
1×egg-herbie
Rules
22 460×lower-fma.f64
22 460×lower-fma.f32
4 510×lower-*.f64
4 510×lower-*.f32
2 314×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049780
1154746
2345746
31106726
43451726
57297726
08251663
Stop Event
1×iter limit
1×node limit
Counts
132 → 129
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* 2 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 3))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 3))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 3))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) 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 (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) 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 (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
-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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)

rewrite354.0ms (5.7%)

Memory
6.4MiB live, 353.9MiB allocated
Rules
7 890×lower-fma.f32
7 880×lower-fma.f64
4 138×lower-/.f32
4 134×lower-/.f64
3 804×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02199
03596
115978
2131678
0857078
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 504
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#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(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x x x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) x))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x x) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x x))))))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal -2 binary64))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))))
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (neg.f64 x) x)))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 x (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (/.f64 x x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) x)) (/.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) x) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (fma.f64 x (neg.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x)) (-.f64 (*.f64 x x) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x)) (fma.f64 x (neg.f64 x) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x))) (-.f64 (*.f64 x x) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x)))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))
(*.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (neg.f64 x) x))))))
(*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (-.f64 (*.f64 x x) x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (/.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))

eval148.0ms (2.4%)

Memory
-24.2MiB live, 115.0MiB allocated
Compiler

Compiled 15 101 to 1 425 computations (90.6% saved)

prune108.0ms (1.7%)

Memory
12.7MiB live, 90.8MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6312633
Fresh101
Picked145
Done011
Total6337640
Accuracy
100.0%
Counts
640 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.6%
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶53.7%
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
✓47.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
✓48.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
✓47.4%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
✓52.4%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 49 to 31 computations (36.7% saved)

simplify276.0ms (4.4%)

Memory
-5.2MiB live, 306.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
cost-diff576
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
cost-diff0
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
Rules
10 736×lower-fma.f32
10 734×lower-fma.f64
2 004×lower-+.f32
2 000×lower-+.f64
1 778×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02168
02866
15966
212363
325861
489761
5354161
6759861
0807059
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.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)
x
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
Outputs
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.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)
x
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.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))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))

localize77.0ms (1.2%)

Memory
27.6MiB live, 74.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(+.f64 x #s(literal -1 binary64))
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
accuracy16.163971729310145
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
accuracy0
(/.f64 #s(literal -2 binary64) x)
accuracy0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
accuracy29.60331712596165
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
Samples
63.0ms256×0valid
Compiler

Compiled 66 to 20 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 41.0ms (74.9% of total)
ival-div: 6.0ms (11% of total)
ival-add: 5.0ms (9.1% of total)
ival-sub: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt #s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 x #s(literal -1 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt (/ -2 x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ -1 (/ -2 x))
0.0ms
x
@0
(/ -2 x)
0.0ms
x
@-inf
(* (- 1 x) (+ x -1))
0.0ms
x
@inf
(/ -2 x)
0.0ms
x
@inf
(* (- 1 x) (+ x -1))

simplify292.0ms (4.7%)

Memory
-38.9MiB live, 162.2MiB allocated
Algorithm
1×egg-herbie
Rules
8 784×lower-fma.f64
8 784×lower-fma.f32
2 566×lower-*.f64
2 566×lower-*.f32
1 808×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062486
1168450
2416450
3867434
42589434
55858434
08350406
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -1 x))) 1)
(- (* x (+ 2 (* -1 x))) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
-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)
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) #s(literal -1 binary64))
-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)
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) #s(literal -1 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
-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)
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) #s(literal -1 binary64))
-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)
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(- (* x (+ 2 (* -1 x))) 1)
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(- (* x (+ 2 (* -1 x))) 1)
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

rewrite400.0ms (6.4%)

Memory
42.5MiB live, 353.1MiB allocated
Rules
4 988×lower-/.f32
4 984×lower-/.f64
4 120×lower-fma.f32
4 118×lower-fma.f64
3 558×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02162
02865
114745
2138944
0876444
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 867
Calls
Call 1
Inputs
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
Outputs
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 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 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x))) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))) (-.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))

eval231.0ms (3.7%)

Memory
22.2MiB live, 244.7MiB allocated
Compiler

Compiled 27 718 to 2 617 computations (90.6% saved)

prune266.0ms (4.3%)

Memory
-26.9MiB live, 247.4MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New9601961
Fresh000
Picked112
Done055
Total9617968
Accuracy
100.0%
Counts
968 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.6%
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
✓100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓53.7%
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
✓47.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
✓48.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
✓47.4%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
✓52.4%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 49 to 30 computations (38.8% saved)

simplify193.0ms (3.1%)

Memory
14.9MiB live, 327.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
cost-diff0
#s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
Rules
10 422×lower-fma.f32
10 418×lower-fma.f64
2 208×lower--.f32
2 206×lower--.f64
2 164×lower-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01249
01850
13750
27450
315450
443147
5128047
6261247
7376347
8602547
9747247
0800947
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize31.0ms (0.5%)

Memory
27.6MiB live, 66.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x #s(literal -1 binary64))
accuracy0
(-.f64 #s(literal 2 binary64) x)
accuracy0
#s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
accuracy16.163971729310145
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
Samples
21.0ms256×0valid
Compiler

Compiled 40 to 15 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (39.1% of total)
ival-add: 3.0ms (23.5% of total)
ival-div: 2.0ms (15.6% of total)
ival-sub: 2.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-66.9MiB live, 7.7MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))>
#<alt (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))>
#<alt (-.f64 #s(literal 2 binary64) x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(+ (* x (- 2 x)) -1)
0.0ms
x
@0
(+ (* x (- 2 x)) -1)
0.0ms
x
@inf
(+ (* x (- 2 x)) -1)
0.0ms
x
@inf
(- 2 x)
0.0ms
x
@-inf
(- 2 x)

simplify171.0ms (2.7%)

Memory
36.5MiB live, 299.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 950×lower-fma.f64
8 950×lower-fma.f32
2 802×lower-*.f64
2 802×lower-*.f32
1 464×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054347
1153320
2376320
3885300
42300300
54915300
08100271
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -1 x))) 1)
(- (* x (+ 2 (* -1 x))) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -1 x))) 1)
(- (* x (+ 2 (* -1 x))) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
-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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 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)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(- (* x (+ 2 (* -1 x))) 1)
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(- (* x (+ 2 (* -1 x))) 1)
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(- (* x (+ 2 (* -1 x))) 1)
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(- (* x (+ 2 (* -1 x))) 1)
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)

rewrite258.0ms (4.1%)

Memory
-1.1MiB live, 279.7MiB allocated
Rules
7 706×lower-fma.f32
7 702×lower-fma.f64
3 980×lower-*.f64
3 980×lower-*.f32
3 658×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
01846
19946
278546
0834146
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 479
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 2 binary64) x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (neg.f64 #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 x x) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))
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(fma.f64 (/.f64 #s(literal 8 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (neg.f64 x) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64))))
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)) (fma.f64 x x (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) #s(literal 64 binary64))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) #s(literal 64 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) (fma.f64 x x #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))
(*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 64 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 16 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 8 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))

eval82.0ms (1.3%)

Memory
-14.4MiB live, 185.8MiB allocated
Compiler

Compiled 14 189 to 1 443 computations (89.8% saved)

prune98.0ms (1.6%)

Memory
-1.9MiB live, 163.0MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New5390539
Fresh000
Picked011
Done066
Total5397546
Accuracy
100.0%
Counts
546 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.6%
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
✓100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓53.7%
#s(approx (/ (/ (+ (* x (* x x)) 1) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
✓47.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
✓48.6%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
✓47.4%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
✓52.4%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 127 to 55 computations (56.7% saved)

regimes7.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
10 → 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)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x 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) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.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 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (- 1 x) (+ x -1)) (fma.f64 x (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes7.0ms (0.1%)

Memory
-23.2MiB live, 17.5MiB allocated
Counts
6 → 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)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x 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) (+ (* x (+ x -1)) 1)) (- 1 x)) (+.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 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
Calls

2 calls:

4.0ms
x
2.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.3%3x
99.3%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
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)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.9%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
3 → 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)) (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)) (fma.f64 #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
98.7%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
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
98.3%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
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
52.4%1x
52.4%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999623155
0.9999968311768022
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999623155
0.9999968311768022
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999623155
0.9999968311768022
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch13.0ms (0.2%)

Memory
-11.9MiB live, 26.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-0.9999999999623155
0.9999968311768022
Samples
4.0ms240×0valid
Compiler

Compiled 131 to 99 computations (24.4% saved)

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

simplify7.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029147
136147
239147
341147
442147
Stop Event
1×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 #s(literal 2 binary64) (fma.f64 x x 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 #s(literal 2 binary64) (fma.f64 x x 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 #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 -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 #s(literal 2 binary64) (fma.f64 x x 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 #s(literal 2 binary64) (fma.f64 x x 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 #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 -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness982.0ms (15.7%)

Memory
-30.0MiB live, 255.7MiB allocated
Rules
10 702×lower-fma.f64
10 702×lower-fma.f32
2 414×lower-*.f64
2 414×lower-*.f32
1 974×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040165
1114150
2255150
3590146
41225146
52794146
64949146
76697146
87350146
97545146
107569146
117580146
127964146
08165140
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 122 to 50 computations (59% saved)

preprocess45.0ms (0.7%)

Memory
5.8MiB live, 83.9MiB allocated
Compiler

Compiled 186 to 52 computations (72% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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