Prelude:atanh from fay-base-0.20.0.1

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.3%)

Memory
-37.7MiB live, 2.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample940.0ms (17.6%)

Memory
8.6MiB live, 614.5MiB allocated
Samples
740.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 360.0ms
ival-sub: 179.0ms (49.7% of total)
ival-div: 119.0ms (33% of total)
ival-add: 49.0ms (13.6% of total)
ival-true: 6.0ms (1.7% of total)
exact: 4.0ms (1.1% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain63.0ms (1.2%)

Memory
2.1MiB live, 116.2MiB 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 58 to 30 computations (48.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (31.6% of total)
ival-div: 3.0ms (31.6% of total)
ival-add: 3.0ms (31.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess45.0ms (0.8%)

Memory
23.3MiB live, 99.3MiB allocated
Algorithm
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
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB 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)

simplify18.0ms (0.3%)

Memory
-8.0MiB live, 29.7MiB allocated
Algorithm
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
iter limit
saturated
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)

localize18.0ms (0.3%)

Memory
-5.6MiB live, 33.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Samples
12.0ms256×0valid
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 (42.7% of total)
ival-sub: 1.0ms (21.3% of total)
ival-add: 1.0ms (21.3% 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
2.5MiB live, 2.5MiB 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)

simplify362.0ms (6.8%)

Memory
4.0MiB live, 456.3MiB allocated
Algorithm
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
iter limit
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)

rewrite201.0ms (3.8%)

Memory
15.4MiB live, 445.9MiB 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
iter limit
node limit
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))))

eval64.0ms (1.2%)

Memory
-17.3MiB live, 142.3MiB allocated
Compiler

Compiled 14 518 to 1 046 computations (92.8% saved)

prune61.0ms (1.1%)

Memory
16.6MiB live, 177.2MiB 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
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
50.0%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
49.0%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
49.8%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
51.8%
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
48.6%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
50.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 88 to 53 computations (39.8% saved)

simplify67.0ms (1.3%)

Memory
-22.7MiB live, 95.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 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 #s(literal -2 binary64) x)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
Rules
944×lower-fma.f32
938×lower-fma.f64
440×lower-*.f64
440×lower-*.f32
232×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01892
02692
14392
26092
38592
49892
513292
615992
724092
837892
958892
1069092
1179792
12102692
13122492
14130692
15133492
16134592
17134992
0134992
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x 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
#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
#s(approx (/ (+ x 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
#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)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 2 binary64) #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)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 2 binary64)
(fma.f64 x x x)
x
#s(literal 1 binary64)

localize50.0ms (0.9%)

Memory
-8.5MiB live, 106.0MiB allocated
Localize:

Found 10 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))
accuracy32.64913304345775
#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))
accuracy32.1493076793345
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
accuracy32.91504250524083
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
accuracy31.800543846109537
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
accuracy0
(/.f64 #s(literal -2 binary64) x)
accuracy0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
accuracy30.879627405516516
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
Samples
30.0ms256×0valid
Compiler

Compiled 75 to 18 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 8.0ms (40.6% of total)
ival-mult: 6.0ms (30.5% of total)
ival-div: 3.0ms (15.2% of total)
ival-sub: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt #s(approx (/ (+ x 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 #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 (/ -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 (+ 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

30 calls:

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

simplify496.0ms (9.3%)

Memory
17.7MiB live, 814.4MiB allocated
Algorithm
egg-herbie
Rules
22 520×lower-fma.f64
22 520×lower-fma.f32
3 878×lower-*.f64
3 878×lower-*.f32
2 052×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047757
1145714
2325714
31024694
43263694
57072694
08047631
Stop Event
iter limit
node limit
Counts
120 → 119
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
(+ 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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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))))
(/ -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 #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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x 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 #s(literal 2 binary64) (fma.f64 x x x))
(* (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 #s(literal 2 binary64) (fma.f64 x x x))
(* (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)

rewrite381.0ms (7.2%)

Memory
12.6MiB live, 729.2MiB allocated
Rules
9 446×lower-fma.f32
9 440×lower-fma.f64
4 652×lower-*.f64
4 652×lower-*.f32
4 260×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881
02681
111981
291081
0849381
Stop Event
iter limit
node limit
iter limit
Counts
10 → 320
Calls
Call 1
Inputs
#s(approx (/ (+ x 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)
#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
#s(approx (/ (+ x 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 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)))))
(neg.f64 (/.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))))
(neg.f64 (/.f64 (+.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 4 binary64) x) #s(literal 2 binary64)) x))))
(neg.f64 (/.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 #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)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))))
(/.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 (+.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 (+.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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #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 (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))))
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(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x))
(*.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.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 x (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (*.f64 x (fma.f64 x (*.f64 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 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))

eval61.0ms (1.1%)

Memory
-19.7MiB live, 132.3MiB allocated
Compiler

Compiled 7 891 to 881 computations (88.8% saved)

prune46.0ms (0.9%)

Memory
-1.7MiB live, 118.6MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4390439
Fresh011
Picked055
Done011
Total4397446
Accuracy
100.0%
Counts
446 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
50.0%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
49.0%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
49.8%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
51.8%
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
48.6%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
50.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 48 to 29 computations (39.6% saved)

simplify244.0ms (4.6%)

Memory
5.5MiB live, 201.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 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 2 binary64))
cost-diff0
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
Rules
3 760×lower-fma.f32
3 754×lower-fma.f64
1 000×lower-*.f64
1 000×lower-*.f32
592×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
01642
13742
29842
318642
428242
537542
640642
754142
879942
9109742
10137342
11201542
12266142
13320742
14335142
15336342
16336342
17339142
18340342
19340342
0340342
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
x
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x x x)
#s(literal 1 binary64)
Outputs
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
x
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x x x)
#s(literal 1 binary64)

localize29.0ms (0.5%)

Memory
23.7MiB live, 62.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x x)
accuracy0
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
accuracy0.0234375
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy32.02871599618696
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
Samples
20.0ms256×0valid
Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 5.0ms (41.3% of total)
ival-mult: 4.0ms (33% of total)
ival-div: 2.0ms (16.5% of total)
ival-sub: 1.0ms (8.3% 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
4.5MiB live, 4.5MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 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 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2))))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 2)))>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* x (+ 2 (* 2 x))))>
#<alt (+ 2 (* 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)) (/ 2 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (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

12 calls:

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

simplify501.0ms (9.4%)

Memory
-30.9MiB live, 583.9MiB allocated
Algorithm
egg-herbie
Rules
19 928×lower-fma.f64
19 928×lower-fma.f32
3 744×lower-*.f64
3 744×lower-*.f32
1 506×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058346
1186340
2539328
31792324
45630324
08717276
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -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))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 2)))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* 2 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (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 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)
(+ 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))
(* 2 (pow x 3))
(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x x)))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(* 2 (pow x 3))
(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(*.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 2)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 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)) (/ 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 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)) (/ 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 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)

rewrite420.0ms (7.9%)

Memory
-1.3MiB live, 590.4MiB allocated
Rules
9 438×lower-fma.f32
9 432×lower-fma.f64
5 476×lower-*.f64
5 476×lower-*.f32
3 894×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
01639
19939
282839
0857539
Stop Event
iter limit
node limit
iter limit
Counts
4 → 255
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
(fma.f64 x x x)
Outputs
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))))
(+.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x x))) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 4 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x x)))) (*.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 4 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 (*.f64 x x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.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 x (-.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.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 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x))) (neg.f64 (fma.f64 x (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) 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 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 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 (fma.f64 x x x) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) x))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x)))))))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x))
(*.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x)))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.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 x (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) 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 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x (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 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))

eval101.0ms (1.9%)

Memory
16.7MiB live, 87.8MiB allocated
Compiler

Compiled 8 271 to 896 computations (89.2% saved)

prune79.0ms (1.5%)

Memory
14.8MiB live, 145.5MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3020302
Fresh000
Picked011
Done066
Total3027309
Accuracy
100.0%
Counts
309 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
50.0%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
49.0%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
49.8%
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
51.8%
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
48.6%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
50.3%
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
Compiler

Compiled 90 to 44 computations (51.1% saved)

regimes6.0ms (0.1%)

Memory
-20.6MiB live, 18.7MiB allocated
Counts
7 → 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)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

3.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
3.0ms
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)

regimes5.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (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)))
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:

2.0ms
x
2.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.8%3x
98.8%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
7.2MiB live, 7.2MiB 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
98.1%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
-32.9MiB live, 6.6MiB 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:

2.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
97.8%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes1.0ms (0%)

Memory
4.8MiB live, 4.8MiB 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
97.3%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0%)

Memory
8.9MiB live, 8.9MiB 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
50.3%1x
50.3%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
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9980418459395626
0.9727747491775772
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9980418459395626
0.9727747491775772
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9980418459395626
0.9727747491775772
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch19.0ms (0.4%)

Memory
-9.7MiB live, 33.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-0.9980418459395626
0.9727747491775772
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
19.7MiB live, 19.7MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029147
136147
239147
341147
442147
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness970.0ms (18.2%)

Memory
-18.8MiB live, 254.9MiB 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
done
iter limit
node limit
Compiler

Compiled 122 to 50 computations (59% saved)

preprocess47.0ms (0.9%)

Memory
21.0MiB live, 98.9MiB allocated
Compiler

Compiled 186 to 52 computations (72% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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