Asymptote B

Time bar (total: 7.5s)

analyze3.0ms (0%)

Algorithm
1×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 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample902.0ms (12%)

Results
631.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 391.0ms
ival-add: 140.0ms (35.8% of total)
ival-div: 134.0ms (34.2% of total)
ival-sub: 104.0ms (26.6% of total)
const: 11.0ms (2.8% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess61.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
706×fnmadd-define
550×sum3-define
492×fma-define
388×fmsub-define
382×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01437
13532
27530
317030
441530
597730
6180230
7226730
8230330
0710
11510
21610
01610
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
Outputs
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
Call 2
Inputs
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
(+ (/ 1 (- (neg x) 1)) (/ (neg x) (+ (neg x) 1)))
(neg (+ (/ 1 (- (neg x) 1)) (/ (neg x) (+ (neg x) 1))))
Outputs
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
(+ (/ x (+ 1 x)) (recip (+ x -1)))
(+ (/ 1 (- (neg x) 1)) (/ (neg x) (+ (neg x) 1)))
(+ (recip (- -1 x)) (/ x (+ x -1)))
(neg (+ (/ 1 (- (neg x) 1)) (/ (neg x) (+ (neg x) 1))))
(+ (recip (+ 1 x)) (/ x (- 1 x)))

explain81.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 x (+.f64 x #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-#s(literal 1 binary64)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
Results
37.0ms512×0valid
Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 9.0ms (47.5% of total)
ival-add: 5.0ms (26.4% of total)
ival-sub: 3.0ms (15.8% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune30.0ms (0.4%)

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%)

Algorithm
1×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×+-lowering-+.f64
12×+-lowering-+.f32
6×+-commutative
4×/-lowering-/.f32
4×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
11527
21627
01627
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
(/ 1 (- x 1))
1
(- x 1)
x
(/ x (+ x 1))
(+ x 1)
Outputs
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ 1 (- x 1))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(/ x (+ x 1))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)

localize45.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
35.0ms256×0valid
Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48% of total)
ival-add: 3.0ms (36% of total)
ival-sub: 2.0ms (24% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (+ (/ 1 (- x 1)) (/ x (+ x 1)))>
#<alt (/ 1 (- x 1))>
#<alt (- x 1)>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
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)

rewrite339.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
3192×*-lowering-*.f32
3192×*-lowering-*.f64
3160×/-lowering-/.f32
3160×/-lowering-/.f64
1740×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
16225
273125
0911425
Stop Event
1×iter limit
1×node limit
Counts
5 → 286
Calls
Call 1
Inputs
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
(/ 1 (- x 1))
(- x 1)
(/ x (+ x 1))
(+ x 1)
Outputs
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))))
(-.f64 (/.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (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)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(neg.f64 (+.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) 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 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) x))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 x (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.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 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #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 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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 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 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))

simplify210.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1974×sum3-define
1912×*-lowering-*.f32
1912×*-lowering-*.f64
1824×fnmsub-define
1388×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083351
1240335
2592327
31588320
44731320
08281320
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 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))) (/ 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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x)))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) 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 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) 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 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- x 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) 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))

eval85.0ms (1.1%)

Compiler

Compiled 7984 to 974 computations (87.8% saved)

prune62.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3397346
Fresh000
Picked011
Done000
Total3398347
Accuracy
100.0%
Counts
347 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.3%
(/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶54.2%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
45.9%
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
▶45.8%
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
72.2%
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
▶54.4%
#s(literal 1 binary64)
▶46.1%
#s(literal -1 binary64)
Compiler

Compiled 152 to 97 computations (36.2% saved)

simplify252.0ms (3.3%)

Algorithm
1×egg-herbie
Localize:

Found 10 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
(*.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
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓cost-diff256
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
✓cost-diff256
(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64)))
✓cost-diff384
(/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
Rules
2032×sum4-define
1846×fmsub-define
1766×--lowering--.f32
1766×--lowering--.f64
1762×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01798
13993
28993
317486
438177
596277
6377477
0819277
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (+ x (+ 1 (* x (+ x -1)))) (+ x -1)) (+ 1 x))
(/ (+ x (+ 1 (* x (+ x -1)))) (+ x -1))
(+ x (+ 1 (* x (+ x -1))))
x
(+ 1 (* x (+ x -1)))
1
(* x (+ x -1))
(+ x -1)
-1
(+ 1 x)
-1
1
(+ -1 (* -2 (* x x)))
-1
(* -2 (* x x))
-2
(* x x)
x
(+ 1 (/ 2 (* x x)))
1
(/ 2 (* x x))
2
(* x x)
x
Outputs
(/ (/ (+ x (+ 1 (* x (+ x -1)))) (+ x -1)) (+ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (+ x (+ 1 (* x (+ x -1)))) (+ x -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(+ x (+ 1 (* x (+ x -1))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
x
(+ 1 (* x (+ x -1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(* x (+ x -1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(+ -1 (* -2 (* x x)))
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(* -2 (* x x))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(* x x)
(*.f64 x x)
x
(+ 1 (/ 2 (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x

localize78.0ms (1%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy98.7%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 x x))
✓accuracy100.0%
(/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
✓accuracy100.0%
(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓accuracy73.5%
(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64)))
Results
56.0ms256×0valid
Compiler

Compiled 100 to 18 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 17.0ms (55.4% of total)
ival-add: 8.0ms (26.1% of total)
ival-div: 5.0ms (16.3% of total)
const: 1.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (/ (/ (+ x (+ 1 (* x (+ x -1)))) (+ x -1)) (+ 1 x))>
#<alt (/ (+ x (+ 1 (* x (+ x -1)))) (+ x -1))>
#<alt (+ x (+ 1 (* x (+ x -1))))>
#<alt (+ 1 (* x (+ x -1)))>
#<alt (+ -1 (* -2 (* x x)))>
#<alt (* -2 (* x x))>
#<alt (* x x)>
#<alt (+ 1 (/ 2 (* x x)))>
#<alt (/ 2 (* x x))>
#<alt (* x (+ x -1))>
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 (- (* -2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 1)) 1)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))>
#<alt (* x (+ 1 (+ (/ 1 x) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))>
#<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 (* -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 (- (* -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 (* -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 (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 (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 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
Calls

30 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* x (+ x -1))
0.0ms
x
@inf
(+ -1 (* -2 (* x x)))
0.0ms
x
@inf
(* -2 (* x x))
0.0ms
x
@0
(/ 2 (* x x))
0.0ms
x
@0
(/ (/ (+ x (+ 1 (* x (+ x -1)))) (+ x -1)) (+ 1 x))

rewrite411.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
4012×/-lowering-/.f32
4012×/-lowering-/.f64
3824×*-lowering-*.f32
3824×*-lowering-*.f64
2194×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01778
112268
2127665
0825865
Stop Event
1×iter limit
1×node limit
Counts
10 → 486
Calls
Call 1
Inputs
(/ (/ (+ x (+ 1 (* x (+ x -1)))) (+ x -1)) (+ 1 x))
(/ (+ x (+ 1 (* x (+ x -1)))) (+ x -1))
(+ x (+ 1 (* x (+ x -1))))
(+ 1 (* x (+ x -1)))
(+ -1 (* -2 (* x x)))
(* -2 (* x x))
(* x x)
(+ 1 (/ 2 (* x x)))
(/ 2 (* x x))
(* x (+ x -1))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(neg.f64 (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
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(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) x)))
(fma.f64 x x (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (+.f64 (*.f64 x x) x))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) x)) (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (pow.f64 (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x) (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x)) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x))))))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal -1 binary64)) x)
(*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))

simplify237.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
2130×sum3-define
2116×fma-lowering-fma.f32
2116×fma-lowering-fma.f64
1960×*-lowering-*.f32
1960×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089708
1265671
2714656
32143604
45753604
08694604
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
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 (- (* -2 x) 1)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 1)) 1)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
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 (* -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
(- (* -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)))))
(* -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))
(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 (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 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 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))) (/ 2 (pow x 4))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))))
(- (* x (- (* x (- (* -2 x) 2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))))))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(* x (+ 1 (+ (/ 1 x) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1)))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))
(+ 1 (* x (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(- (* -2 (pow x 2)) 1)
(+.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))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 2) (+ 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))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 2) (+ 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))
(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 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x 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))))
(+.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 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- x 1))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* x (- x 1))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* x (- x 1))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))

eval136.0ms (1.8%)

Compiler

Compiled 18717 to 2144 computations (88.5% saved)

prune106.0ms (1.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6271628
Fresh112
Picked145
Done011
Total6297636
Accuracy
100.0%
Counts
636 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.3%
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓54.2%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓45.8%
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
▶72.2%
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
✓54.4%
#s(literal 1 binary64)
✓46.1%
#s(literal -1 binary64)
Compiler

Compiled 64 to 43 computations (32.8% saved)

simplify245.0ms (3.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓cost-diff128
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓cost-diff0
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64)))
✓cost-diff384
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
Rules
2366×*-lowering-*.f32
2366×*-lowering-*.f64
1556×/-lowering-/.f32
1556×/-lowering-/.f64
1384×--lowering--.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01492
13389
28189
322389
455989
5139279
6542577
0834477
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (/ (+ 1 x) x) (+ x -1)) (/ x (+ (* x x) -1)))
(+ (/ (+ 1 x) x) (+ x -1))
(/ (+ 1 x) x)
(+ 1 x)
1
x
(+ x -1)
-1
(/ x (+ (* x x) -1))
(+ (* x x) -1)
(* x x)
(/ (/ (+ (* x x) 1) (+ x -1)) (+ 1 x))
(/ (+ (* x x) 1) (+ x -1))
(+ (* x x) 1)
(* x x)
x
1
(+ x -1)
-1
(+ 1 x)
Outputs
(* (+ (/ (+ 1 x) x) (+ x -1)) (/ x (+ (* x x) -1)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+ (/ (+ 1 x) x) (+ x -1))
(-.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ x (+ (* x x) -1))
(/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(+ (* x x) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
(/ (/ (+ (* x x) 1) (+ x -1)) (+ 1 x))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/ (+ (* x x) 1) (+ x -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(+ (* x x) 1)
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)

localize91.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓accuracy73.5%
(/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓accuracy100.0%
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓accuracy99.7%
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
✓accuracy73.5%
(/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))
Results
43.0ms256×0valid
Compiler

Compiled 96 to 15 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 14.0ms (56.7% of total)
ival-add: 7.0ms (28.4% of total)
ival-mult: 4.0ms (16.2% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (* (+ (/ (+ 1 x) x) (+ x -1)) (/ x (+ (* x x) -1)))>
#<alt (+ (/ (+ 1 x) x) (+ x -1))>
#<alt (/ (+ 1 x) x)>
#<alt (+ 1 x)>
#<alt (/ (/ (+ (* x x) 1) (+ x -1)) (+ 1 x))>
#<alt (/ (+ (* x x) 1) (+ x -1))>
#<alt (+ (* x x) 1)>
#<alt (* x x)>
#<alt (/ x (+ (* x x) -1))>
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 x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 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)))>
#<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 (- (* -2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 1)) 1)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))>
#<alt (* x (+ 1 (+ (/ 1 x) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))>
#<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 (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 x)>
#<alt (* x (- (* -1 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 (pow x 2))) x)>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 (pow x 2))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))>
Calls

27 calls:

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

rewrite447.0ms (5.9%)

Algorithm
1×batch-egg-rewrite
Rules
4656×*-lowering-*.f32
4656×*-lowering-*.f64
4234×/-lowering-/.f32
4234×/-lowering-/.f64
1790×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01466
111161
2124261
0844161
Stop Event
1×iter limit
1×node limit
Counts
9 → 545
Calls
Call 1
Inputs
(* (+ (/ (+ 1 x) x) (+ x -1)) (/ x (+ (* x x) -1)))
(+ (/ (+ 1 x) x) (+ x -1))
(/ (+ 1 x) x)
(+ 1 x)
(/ (/ (+ (* x x) 1) (+ x -1)) (+ 1 x))
(/ (+ (* x x) 1) (+ x -1))
(+ (* x x) 1)
(* x x)
(/ x (+ (* x x) -1))
Outputs
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(fma.f64 (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))))
(/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(/.f64 (*.f64 x (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
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(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))))
(/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

simplify289.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
2528×--lowering--.f32
2528×--lowering--.f64
2418×*-lowering-*.f32
2418×*-lowering-*.f64
1710×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0104681
1305635
2783597
32395571
46738568
08714568
Stop Event
1×iter limit
1×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 x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (pow x 2)) x)
x
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 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)))
-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 (- (* -2 x) 1)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 1)) 1)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
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))))
(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 x)
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 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))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (pow x 2)) x)
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (pow x 2)) x)
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (pow x 2)) x)
(+.f64 x (/.f64 #s(literal 1 binary64) x))
x
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
x
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 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))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))))
(- (* x (- (* x (- (* -2 x) 2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(* x (+ 1 (+ (/ 1 x) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1)))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1 (pow x 2)) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))

eval144.0ms (1.9%)

Compiler

Compiled 21963 to 2352 computations (89.3% saved)

prune108.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New7142716
Fresh000
Picked202
Done145
Total7176723
Accuracy
100.0%
Counts
723 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
✓54.2%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓45.8%
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
▶72.2%
(*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
✓54.4%
#s(literal 1 binary64)
✓46.1%
#s(literal -1 binary64)
Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify262.0ms (3.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) x))
✓cost-diff128
(*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
Rules
2662×+-lowering-+.f64
2662×+-lowering-+.f32
1986×*-lowering-*.f32
1986×*-lowering-*.f64
1898×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01259
12558
24958
311354
421054
553454
6114554
7242854
0802154
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ x (/ 1 x)) (/ x (+ (* x x) -1)))
(+ x (/ 1 x))
x
(/ 1 x)
1
(/ x (+ (* x x) -1))
(+ (* x x) -1)
(* x x)
-1
(/ (+ 1 (* x x)) (+ -1 (* x x)))
(+ 1 (* x x))
1
(* x x)
x
(+ -1 (* x x))
-1
Outputs
(* (+ x (/ 1 x)) (/ x (+ (* x x) -1)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(+ x (/ 1 x))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ x (+ (* x x) -1))
(/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(+ (* x x) -1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* x x)
(*.f64 x x)
-1
#s(literal -1 binary64)
(/ (+ 1 (* x x)) (+ -1 (* x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(+ -1 (* x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize67.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy72.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
✓accuracy100.0%
(+.f64 x (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.7%
(*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
✓accuracy73.5%
(/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))
Results
50.0ms256×0valid
Compiler

Compiled 68 to 13 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 6.0ms (39.5% of total)
ival-add: 5.0ms (32.9% of total)
ival-mult: 4.0ms (26.3% of total)
const: 1.0ms (6.6% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (* (+ x (/ 1 x)) (/ x (+ (* x x) -1)))>
#<alt (+ x (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ x (+ (* x x) -1))>
#<alt (/ (+ 1 (* x x)) (+ -1 (* x x)))>
#<alt (+ 1 (* x x))>
#<alt (* x x)>
#<alt (+ -1 (* x x))>
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 x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1 x)>
#<alt (* x (- (* -1 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 (pow x 2))) x)>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 (pow x 2))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) 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 (+ 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 (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 (- (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

24 calls:

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

rewrite419.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
4434×*-lowering-*.f32
4434×*-lowering-*.f64
4158×/-lowering-/.f32
4158×/-lowering-/.f64
1314×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01246
19145
283040
0863340
Stop Event
1×iter limit
1×node limit
Counts
8 → 967
Calls
Call 1
Inputs
(* (+ x (/ 1 x)) (/ x (+ (* x x) -1)))
(+ x (/ 1 x))
(/ 1 x)
(/ x (+ (* x x) -1))
(/ (+ 1 (* x x)) (+ -1 (* x x)))
(+ 1 (* x x))
(* x x)
(+ -1 (* x x))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))) (/.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))) x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 x (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
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(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.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 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.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 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1 binary64)))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.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 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 (*.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) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.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) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.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 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))

simplify260.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1784×fma-lowering-fma.f32
1784×fma-lowering-fma.f64
1528×fmsub-define
1526×*-lowering-*.f32
1526×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
067588
1186540
2472534
31441505
43936502
08086502
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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 x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (pow x 2)) x)
x
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) 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
(+ 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))))
(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
(- (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)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 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))) (/ 2 (pow x 4))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1 binary64) (/.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) (pow.f64 x #s(literal 6 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 (+.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1 binary64) (/.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) (pow.f64 x #s(literal 6 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (pow x 2)) x)
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (pow x 2)) x)
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (pow x 2)) x)
(+.f64 x (/.f64 #s(literal 1 binary64) x))
x
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
x
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1 (pow x 2)) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(*.f64 x (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/.f64 (+.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)))))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 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))) (/ 2 (pow x 4))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1 binary64) (/.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) (pow.f64 x #s(literal 6 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 (+.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1 binary64) (/.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) (pow.f64 x #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 2))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))

eval197.0ms (2.6%)

Compiler

Compiled 30118 to 2007 computations (93.3% saved)

prune171.0ms (2.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New111611117
Fresh000
Picked112
Done044
Total111761123
Accuracy
100.0%
Counts
1123 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
✓71.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
✓54.2%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓45.8%
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
✓54.4%
#s(literal 1 binary64)
✓46.1%
#s(literal -1 binary64)
Compiler

Compiled 167 to 73 computations (56.3% saved)

regimes8.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.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 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
Calls

2 calls:

4.0ms
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)

regimes5.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.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 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
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
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%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)

regimes24.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.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)))
Outputs
(+.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)
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
46.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch29.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.1649966639040787
517268584.0630631
14.0ms
-7.7330115508043145
-2.5609770868630127e-14
Results
16.0ms304×0valid
Compiler

Compiled 304 to 240 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.9% of total)
ival-add: 3.0ms (31.4% of total)
ival-sub: 2.0ms (21% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch60.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.1649966639040787
517268584.0630631
44.0ms
-7.7330115508043145
-2.5609770868630127e-14
Results
47.0ms304×0valid
Compiler

Compiled 244 to 200 computations (18% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (50.5% of total)
ival-add: 3.0ms (30.3% of total)
ival-sub: 2.0ms (20.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch72.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.1649966639040787
517268584.0630631
24.0ms
-7.7330115508043145
-2.5609770868630127e-14
Results
27.0ms304×0valid
Compiler

Compiled 130 to 124 computations (4.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (50.6% of total)
ival-add: 3.0ms (30.4% of total)
ival-sub: 2.0ms (20.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
4×*-commutative_binary64
4×sub-neg_binary64
4×if-if-or-not_binary32
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02774
14374
24674
35174
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)
Outputs
(/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
(+.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 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness1.5s (19.9%)

Rules
4434×*-lowering-*.f32
4434×*-lowering-*.f64
4158×/-lowering-/.f32
4158×/-lowering-/.f64
3192×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
16225
273125
0911425
083351
1240335
2592327
31588320
44731320
08281320
01246
19145
283040
0863340
0104681
1305635
2783597
32395571
46738568
08714568
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 136 to 73 computations (46.3% saved)

preprocess60.0ms (0.8%)

Compiler

Compiled 174 to 68 computations (60.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...