Asymptote B

Time bar (total: 2.8s)

analyze3.0ms (0.1%)

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)

sample751.0ms (26.7%)

Results
534.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 301.0ms
ival-div: 127.0ms (42.2% of total)
ival-sub: 85.0ms (28.2% of total)
ival-add: 76.0ms (25.2% of total)
const: 10.0ms (3.3% of total)
backward-pass: 2.0ms (0.7% of total)
Bogosity

preprocess34.0ms (1.2%)

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)))

explain70.0ms (2.5%)

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
36.0ms512×0valid
Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (43.3% of total)
ival-add: 5.0ms (30.9% of total)
ival-sub: 3.0ms (18.6% of total)
const: 1.0ms (6.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

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)

simplify34.0ms (1.2%)

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)

localize27.0ms (1%)

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
18.0ms256×0valid
Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (44.8% of total)
ival-sub: 3.0ms (33.6% of total)
ival-add: 2.0ms (22.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

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)

rewrite283.0ms (10.1%)

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))))))

simplify253.0ms (9%)

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))

eval53.0ms (1.9%)

Compiler

Compiled 7984 to 974 computations (87.8% saved)

prune55.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3424346
Fresh000
Picked011
Done000
Total3425347
Accuracy
100.0%
Counts
347 → 5
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))))
▶51.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
▶49.0%
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
▶51.9%
#s(literal 1 binary64)
▶49.0%
#s(literal -1 binary64)
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 6 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)))
Rules
14×*-lowering-*.f32
14×*-lowering-*.f64
8×fma-lowering-fma.f32
8×fma-define
8×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
11937
22537
32637
02637
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
-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
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(+ -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
(+ 1 (/ 2 (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
1
#s(literal 1 binary64)
(/ 2 (* x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x

localize105.0ms (3.7%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy98.8%
(/.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))
Results
92.0ms256×0valid
Compiler

Compiled 40 to 11 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.3% of total)
ival-div: 2.0ms (21.7% of total)
ival-add: 2.0ms (21.7% of total)
const: 1.0ms (10.8% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (+ -1 (* -2 (* x x)))>
#<alt (* -2 (* x x))>
#<alt (* x x)>
#<alt (+ 1 (/ 2 (* x x)))>
#<alt (/ 2 (* x x))>
Outputs
#<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))>
Calls

15 calls:

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

rewrite220.0ms (7.8%)

Algorithm
1×batch-egg-rewrite
Rules
2992×*-lowering-*.f32
2992×*-lowering-*.f64
2056×/-lowering-/.f32
2056×/-lowering-/.f64
1658×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
15225
243325
3637625
0801325
Stop Event
1×iter limit
1×node limit
Counts
5 → 168
Calls
Call 1
Inputs
(+ -1 (* -2 (* x x)))
(* -2 (* x x))
(* x x)
(+ 1 (/ 2 (* x x)))
(/ 2 (* x x))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -8 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 (*.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #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 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 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 (*.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #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 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #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 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) (/.f64 #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 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 8 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 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #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 -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(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 x x)))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x 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 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 -2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))

simplify197.0ms (7%)

Algorithm
1×egg-herbie
Rules
2280×sum5-define
1630×fma-lowering-fma.f32
1630×fma-lowering-fma.f64
1432×*-lowering-*.f32
1432×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017297
142294
2123294
3253294
4427294
51004294
62542294
75638294
08200294
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
-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))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(- (* -2 (pow x 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(- (* -2 (pow x 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* -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 x (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* -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 x (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* -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))

eval32.0ms (1.1%)

Compiler

Compiled 4623 to 517 computations (88.8% saved)

prune33.0ms (1.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2580258
Fresh000
Picked044
Done011
Total2585263
Accuracy
100.0%
Counts
263 → 5
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))))
✓51.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓49.0%
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
✓51.9%
#s(literal 1 binary64)
✓49.0%
#s(literal -1 binary64)
Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes5.0ms (0.2%)

Counts
5 → 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))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
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)

regimes2.0ms (0.1%)

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:

2.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

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
99.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

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
99.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0.1%)

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
49.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch35.0ms (1.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.00020293990753566323
8.483163221206413e+24
18.0ms
-56536903.90931633
-0.010567860524590583
Results
17.0ms336×0valid
Compiler

Compiled 328 to 260 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (50.8% of total)
ival-add: 3.0ms (30.5% of total)
ival-sub: 2.0ms (20.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.00020293990753566323
8.483163221206413e+24
21.0ms
-56536903.90931633
-0.010567860524590583
Results
25.0ms336×0valid
Compiler

Compiled 268 to 220 computations (17.9% 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)

bsearch56.0ms (2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
0.00020293990753566323
8.483163221206413e+24
13.0ms
-56536903.90931633
-0.010567860524590583
Results
42.0ms336×0valid
Compiler

Compiled 142 to 136 computations (4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 30.0ms (86.4% of total)
ival-add: 3.0ms (8.6% of total)
ival-sub: 2.0ms (5.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
12×+-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
02263
13663
23963
34463
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 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)

soundness462.0ms (16.5%)

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×done
1×iter limit
1×node limit
Compiler

Compiled 98 to 50 computations (49% saved)

preprocess31.0ms (1.1%)

Compiler

Compiled 152 to 58 computations (61.8% saved)

end0.0ms (0%)

Profiling

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