Asymptote B

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

sample665.0ms (12.9%)

Memory
1.3MiB live, 876.4MiB allocated
Samples
413.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-div: 107.0ms (42.7% of total)
ival-add: 76.0ms (30.3% of total)
ival-sub: 54.0ms (21.5% of total)
ival-true: 6.0ms (2.4% of total)
exact: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain85.0ms (1.6%)

Memory
25.1MiB live, 139.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
00-0-(/.f64 x (+.f64 x #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
29.0ms512×0valid
Compiler

Compiled 74 to 25 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.8% of total)
ival-add: 6.0ms (35.8% of total)
ival-sub: 3.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess23.0ms (0.5%)

Memory
-16.8MiB live, 27.9MiB allocated
Algorithm
egg-herbie
Rules
54×sub-neg
52×distribute-lft-neg-in
50×associate-*l*
44×cancel-sign-sub-inv
44×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
12524
26322
313822
425822
542822
645722
747122
848422
0711
01211
11911
22011
02011
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify4.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Rules
12×lower-+.f32
lower-+.f64
+-commutative
lift-+.f64
lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
01229
11929
22029
02029
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

localize27.0ms (0.5%)

Memory
-8.5MiB live, 27.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.01171875
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy0.015625
(/.f64 x (+.f64 x #s(literal 1 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 6.0ms (51.3% of total)
ival-div: 3.0ms (25.7% of total)
ival-sub: 1.0ms (8.6% 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
2.5MiB live, 2.5MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
Outputs
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 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)))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<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)))>
Calls

15 calls:

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

simplify228.0ms (4.4%)

Memory
-3.2MiB live, 222.7MiB allocated
Algorithm
egg-herbie
Rules
11 362×lower-fma.f64
11 362×lower-fma.f32
2 676×lower-*.f64
2 676×lower-*.f32
2 128×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083387
1211385
2469374
31227354
43243348
56363346
67706346
08031338
Stop Event
iter limit
node limit
Counts
60 → 55
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 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)))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
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)))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.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
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
x
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* x (+ 1 (* x (- x 1))))
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.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
(* 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))

rewrite302.0ms (5.8%)

Memory
-12.8MiB live, 361.1MiB allocated
Rules
9 718×lower-fma.f64
9 718×lower-fma.f32
4 480×lower-*.f64
4 480×lower-*.f32
3 656×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01227
16627
270127
0960627
Stop Event
iter limit
node limit
iter limit
Counts
5 → 561
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 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 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 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))))
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(/.f64 (-.f64 (*.f64 x (fma.f64 x (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (fma.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 (+.f64 x #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 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #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)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (fma.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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.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 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.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 x #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x 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))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #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)) #s(literal 1 binary64)))
(*.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)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.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 #s(literal 1 binary64) x) (/.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 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (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) 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)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.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)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))

eval84.0ms (1.6%)

Memory
25.9MiB live, 135.3MiB allocated
Compiler

Compiled 15 383 to 1 711 computations (88.9% saved)

prune78.0ms (1.5%)

Memory
25.8MiB live, 172.8MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6106616
Fresh000
Picked101
Done000
Total6116617
Accuracy
100.0%
Counts
617 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
45.3%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)))
45.3%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
54.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
54.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
45.4%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 100 to 60 computations (40% saved)

simplify331.0ms (6.4%)

Memory
-35.1MiB live, 386.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff384
(+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
Rules
24 216×lower-fma.f32
24 210×lower-fma.f64
2 660×lower-*.f32
2 658×lower-*.f64
2 176×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023132
033132
156132
293126
3205126
4541126
51779122
64866122
08247116
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
x
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x x #s(literal 1 binary64))
x
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x x))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x x)))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x

localize62.0ms (1.2%)

Memory
-12.2MiB live, 111.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy0.2864710263045789
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy29.0489935985467
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
accuracy0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
accuracy0
(*.f64 x x)
accuracy35.012887570078824
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
accuracy29.04185807773509
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
accuracy34.95983207965228
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
accuracy0
(fma.f64 x x #s(literal -1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
accuracy15.984556569354472
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
Samples
33.0ms256×0valid
Compiler

Compiled 121 to 22 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 7.0ms (35.5% of total)
ival-div: 6.0ms (30.4% of total)
ival-mult: 4.0ms (20.3% of total)
ival-sub: 2.0ms (10.1% 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
7.8MiB live, 7.8MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (fma.f64 x x (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))>
#<alt #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))>
#<alt #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))>
#<alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))>
#<alt (*.f64 x x)>
#<alt #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x x))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 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 (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 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) 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))))>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (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 (pow x 2)>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (pow x 2)) (pow x 2))>
#<alt (/ (+ 2 (pow x 2)) (pow x 2))>
#<alt (/ (+ 2 (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<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))))>
Calls

39 calls:

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

simplify221.0ms (4.3%)

Memory
16.5MiB live, 280.5MiB allocated
Algorithm
egg-herbie
Rules
15 120×lower-fma.f64
15 120×lower-fma.f32
3 816×lower-*.f64
3 816×lower-*.f32
1 406×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0591062
11411052
23651044
38791024
423691024
554941014
08205953
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 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))))
(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 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- x 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) 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))))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
-1
(- (* -2 (pow x 2)) 1)
(- (* -2 (pow x 2)) 1)
(- (* -2 (pow x 2)) 1)
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (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)
(pow x 2)
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
-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))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 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))
(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 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(-.f64 (fma.f64 x x #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)
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #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)
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x 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))

rewrite481.0ms (9.3%)

Memory
-7.6MiB live, 403.3MiB allocated
Rules
5 560×lower-*.f32
5 558×lower-*.f64
4 606×lower-/.f32
4 602×lower-/.f64
3 564×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023118
033118
1176118
21821118
08788116
Stop Event
iter limit
node limit
iter limit
Counts
13 → 426
Calls
Call 1
Inputs
(+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x #s(literal -1 binary64))
Outputs
(+.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(+.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x)
(+.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 1 binary64) x) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
(+.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (neg.f64 x))
(+.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) x)
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 x x (+.f64 (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 x #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x x x))
(fma.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x x x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)) (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)))
(/.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (*.f64 x x) (*.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (*.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))) (neg.f64 (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x x)) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x) (*.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x)) (*.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) x)))
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(/.f64 (fma.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (*.f64 x x) x) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (-.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (-.f64 x (*.f64 x x)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 x (*.f64 x x)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (-.f64 x (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.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))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.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 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))

eval91.0ms (1.8%)

Memory
27.8MiB live, 102.0MiB allocated
Compiler

Compiled 16 664 to 1 563 computations (90.6% saved)

prune255.0ms (4.9%)

Memory
-12.1MiB live, 105.7MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New6022604
Fresh101
Picked145
Done000
Total6046610
Accuracy
100.0%
Counts
610 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
45.3%
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
45.3%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
54.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
54.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
45.4%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 47 to 28 computations (40.4% saved)

simplify430.0ms (8.3%)

Memory
-30.5MiB live, 261.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
#s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
Rules
15 058×lower-fma.f32
15 050×lower-fma.f64
3 052×lower-+.f64
3 052×lower-+.f32
2 350×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01996
02897
15697
212681
328281
484181
5348481
6739381
0813777
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (-.f64 (neg.f64 x) x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 (neg.f64 x) x) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 x (-.f64 (neg.f64 x) x) #s(literal -2 binary64))
(*.f64 x #s(literal -2 binary64))
(-.f64 (neg.f64 x) x)
#s(literal -2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)

localize56.0ms (1.1%)

Memory
25.6MiB live, 63.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x #s(literal 1 binary64))
accuracy0
(fma.f64 x x #s(literal -1 binary64))
accuracy0
#s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64)))
accuracy15.984556569354472
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy0
(*.f64 x x)
accuracy0
(*.f64 x #s(literal -2 binary64))
accuracy0.0703125
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
accuracy35.008494508455
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
Samples
41.0ms256×0valid
Compiler

Compiled 83 to 18 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 18.0ms (55.4% of total)
ival-add: 6.0ms (18.5% of total)
ival-mult: 6.0ms (18.5% of total)
ival-sub: 1.0ms (3.1% 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
-26.6MiB live, 10.4MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt #s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))>
#<alt (/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))>
#<alt #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (fma.f64 x x #s(literal 1 binary64))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (*.f64 x #s(literal -2 binary64))>
Outputs
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (* -2 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))>
#<alt (* -2 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 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 (pow x 2)>
#<alt -2>
#<alt (- (* -2 (pow x 2)) 2)>
#<alt (- (* -2 (pow x 2)) 2)>
#<alt (- (* -2 (pow x 2)) 2)>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 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 (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 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 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 (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 (- (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 (* -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)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* (* x x) (+ (* x (* x -2)) -2)) -1)
0.0ms
x
@inf
(+ (* (* x x) (+ (* x (* x -2)) -2)) -1)
0.0ms
x
@inf
(* x -2)
0.0ms
x
@0
(* x -2)
0.0ms
x
@-inf
(* x -2)

simplify277.0ms (5.4%)

Memory
27.0MiB live, 504.0MiB allocated
Algorithm
egg-herbie
Rules
18 050×lower-fma.f64
18 050×lower-fma.f32
3 734×lower-*.f64
3 734×lower-*.f32
1 464×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047662
1120662
2348662
3843636
42171632
55387632
08159571
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(* -2 (pow x 4))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(* -2 (pow x 4))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 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)
(pow x 2)
-2
(- (* -2 (pow x 2)) 2)
(- (* -2 (pow x 2)) 2)
(- (* -2 (pow x 2)) 2)
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 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))))
(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 (pow x 2))
(+ 1 (pow x 2))
(+ 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))))
(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
(- (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))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(* -2 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(* -2 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #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)
-2
#s(literal -2 binary64)
(- (* -2 (pow x 2)) 2)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* -2 (pow x 2)) 2)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* -2 (pow x 2)) 2)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 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))
(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 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 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))
(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)
(- (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))
(* -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)

rewrite240.0ms (4.6%)

Memory
0.7MiB live, 388.6MiB allocated
Rules
7 578×lower-fma.f32
7 570×lower-fma.f64
4 100×lower-/.f32
4 098×lower-/.f64
3 584×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01990
02887
114587
2123081
0849681
Stop Event
iter limit
node limit
iter limit
Counts
9 → 332
Calls
Call 1
Inputs
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x #s(literal -2 binary64))
Outputs
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)))) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (neg.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -2 binary64))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -2 binary64)) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -2 binary64) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x #s(literal -1 binary64))
(fma.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal -2 binary64))))))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.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 #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.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 (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.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 #s(literal 1 binary64)))))
(*.f64 (fma.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 (neg.f64 (fma.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 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.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 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.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))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.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 (*.f64 x x)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.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 #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.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 (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.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 #s(literal -1 binary64)))))
(*.f64 (fma.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 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.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 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)

eval79.0ms (1.5%)

Memory
-8.6MiB live, 132.9MiB allocated
Compiler

Compiled 10 916 to 915 computations (91.6% saved)

prune49.0ms (1%)

Memory
-2.4MiB live, 110.4MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4400440
Fresh000
Picked022
Done044
Total4406446
Accuracy
100.0%
Counts
446 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
45.3%
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
45.3%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
54.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
54.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
45.4%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 125 to 55 computations (56% saved)

regimes7.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)))
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Calls

2 calls:

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

Compiled 14 to 8 computations (42.9% saved)

regimes8.0ms (0.2%)

Memory
-39.1MiB live, 7.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)))
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
Calls

2 calls:

5.0ms
x
2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%3x
99.5%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)))
#s(approx (/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
Calls

1 calls:

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

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
Calls

1 calls:

2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.0%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

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

1 calls:

1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.7%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.4%3x
98.4%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
45.4%1x
45.4%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
-1.0
1.0
Samples
0.0ms16×0valid
Compiler

Compiled 23 to 17 computations (26.1% 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
8.8MiB live, 8.8MiB allocated
Algorithm
egg-herbie
Rules
10×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041268
150268
253268
358268
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(approx (+ x (+ (* x x) (- 1 x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

soundness957.0ms (18.5%)

Memory
6.4MiB live, 390.3MiB allocated
Rules
15 120×lower-fma.f64
15 120×lower-fma.f32
11 362×lower-fma.f64
11 362×lower-fma.f32
9 718×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083387
1211385
2469374
31227354
43243348
56363346
67706346
08031338
0591062
11411052
23651044
38791024
423691024
554941014
08205953
0727
01227
16627
270127
0960627
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 230 to 82 computations (64.3% saved)

preprocess96.0ms (1.9%)

Memory
-17.2MiB live, 147.7MiB allocated
Compiler

Compiled 324 to 66 computations (79.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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